https://mathresearch.utsa.edu/wiki/index.php?action=history&feed=atom&title=Trigonometric_Integrals
Trigonometric Integrals - Revision history
2026-05-30T03:11:05Z
Revision history for this page on the wiki
MediaWiki 1.34.1
https://mathresearch.utsa.edu/wiki/index.php?title=Trigonometric_Integrals&diff=4554&oldid=prev
Khanh: /* More trigonometric combinations */
2022-01-15T23:34:59Z
<p><span dir="auto"><span class="autocomment">More trigonometric combinations</span></span></p>
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<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">← Older revision</td>
<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">Revision as of 23:34, 15 January 2022</td>
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<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><blockquote style="background: white; border: 1px solid black; padding: 1em;"></div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><blockquote style="background: white; border: 1px solid black; padding: 1em;"></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>For the integrals <math>\int\sin(nx)\cos(mx)dx</math> or <math>\int\sin(nx)\sin(mx)dx</math> or <math>\int\cos(nx)\cos(mx)dx</math></div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>For the integrals <math>\int\sin(nx)\cos(mx)dx</math> or <math>\int\sin(nx)\sin(mx)dx</math> or <math>\int\cos(nx)\cos(mx)dx</math></div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>use the <del class="diffchange diffchange-inline">[[Calculus/Table_of_Trigonometry|</del>identities<del class="diffchange diffchange-inline">]]</del></div></td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>use the identities</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*<math>\sin(a)\cos(b)=\frac{\sin(a+b)+\sin(a-b)}{2}</math></div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*<math>\sin(a)\cos(b)=\frac{\sin(a+b)+\sin(a-b)}{2}</math></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*<math>\sin(a)\sin(b)=\frac{\cos(a-b)-\cos(a+b)}{2}</math></div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*<math>\sin(a)\sin(b)=\frac{\cos(a-b)-\cos(a+b)}{2}</math></div></td></tr>
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<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>|<math>=\frac{\sin(x)}{2}-\frac{\sin(3x)}{6}+C</math></div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>|<math>=\frac{\sin(x)}{2}-\frac{\sin(3x)}{6}+C</math></div></td></tr>
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<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==Resources==</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==Resources==</div></td></tr>
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Khanh
https://mathresearch.utsa.edu/wiki/index.php?title=Trigonometric_Integrals&diff=3249&oldid=prev
Lila: /* Resources */
2021-10-29T17:03:55Z
<p><span dir="auto"><span class="autocomment">Resources</span></span></p>
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<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">Revision as of 17:03, 29 October 2021</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l233" >Line 233:</td>
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<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*[https://youtu.be/0TuZSSah5hc Integrals of trigonometric functions, tan^msec^n, odd m] by Krista King</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*[https://youtu.be/0TuZSSah5hc Integrals of trigonometric functions, tan^msec^n, odd m] by Krista King</div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">==Licensing==</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">Content obtained and/or adapted from:</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">* [https://en.wikibooks.org/wiki/Calculus/Integration_techniques/Trigonometric_Integrals Trigonometric integrals, Wikibooks: Calculus/Integration techniques] under a CC BY-SA license</ins></div></td></tr>
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Lila
https://mathresearch.utsa.edu/wiki/index.php?title=Trigonometric_Integrals&diff=2019&oldid=prev
Khanh at 06:57, 9 October 2021
2021-10-09T06:57:30Z
<p></p>
<a href="https://mathresearch.utsa.edu/wiki/index.php?title=Trigonometric_Integrals&diff=2019&oldid=684">Show changes</a>
Khanh
https://mathresearch.utsa.edu/wiki/index.php?title=Trigonometric_Integrals&diff=684&oldid=prev
James.kercheville: Added video links
2020-08-23T14:24:04Z
<p>Added video links</p>
<p><b>New page</b></p><div>[https://youtu.be/Sv-bSbAQeXc Trigonometric Integrals Involving Powers of Sine and Cosine - Part 1] by James Sousa<br />
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[https://youtu.be/vPnuigP8I6I Trigonometric Integrals Involving Powers of Sine and Cosine - Part 2] by James Sousa<br />
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[https://youtu.be/RGaDMqhOg8Y Trigonometric Integrals Involving Powers of Secant and Tangent - Part 1] by James Sousa<br />
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[https://youtu.be/o8sIHlS17qc Trigonometric Integrals Involving Powers of Secant and Tangent - Part 1] by James Sousa<br />
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[https://youtu.be/lTqnlihOC4o Trigonometric Integrals - Part 1 of 6] by patrickJMT<br />
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[https://youtu.be/zyg9k1je7Fg Trigonometric Integrals - Part 2 of 6] by patrickJMT<br />
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[https://youtu.be/BhJ4soojyAQ Trigonometric Integrals - Part 3 of 6] by patrickJMT<br />
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[https://youtu.be/8CHHY-2Ctug Trigonometric Integrals - Part 4 of 6] by patrickJMT<br />
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[https://youtu.be/QdNScjd5bno Trigonometric Integrals - Part 5 of 6] by patrickJMT<br />
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[https://youtu.be/m3zG7c52QR4 Trigonometric Integrals - Part 6 of 6] by patrickJMT<br />
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[https://youtu.be/WYhyq_mTCZs Trigonometric integrals - sin^mcos^n, odd m] by Kriata King<br />
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[https://youtu.be/RRDiT-djQPk Trigonometric integrals - sin^mcos^n, odd n] by Kriata King<br />
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[https://youtu.be/rpbr2nH7lNY Trigonometric integrals - sin^mcos^n, m and n even] by Kriata King<br />
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[https://youtu.be/CK2SfrzF_c4 Integrals of trigonometric functions, tan^msec^n, even n] by Krista King<br />
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[https://youtu.be/0TuZSSah5hc Integrals of trigonometric functions, tan^msec^n, odd m] by Krista King</div>
James.kercheville