Difference between revisions of "Integrals Resulting in Inverse Trigonometric Functions"
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<math> \int\frac{du}{u\sqrt{u^2 - a^2}} =\frac{1}{a}\arcsec \left(\dfrac{|u|}{a}\right) + C </math> | <math> \int\frac{du}{u\sqrt{u^2 - a^2}} =\frac{1}{a}\arcsec \left(\dfrac{|u|}{a}\right) + C </math> | ||
+ | |||
+ | ==Example Problem== | ||
<p>Evaluate the integral</p> | <p>Evaluate the integral</p> | ||
Revision as of 14:21, 28 October 2021
Example Problem
Evaluate the integral
Solution
Substitute . Then and we have
Applying the formula with we obtain
Resources
Integration into Inverse trigonometric functions using Substitution by The Organic Chemistry Tutor
Integrating using Inverse Trigonometric Functions by patrickJMT