Integrals Resulting in Inverse Trigonometric Functions

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \int\frac{du}{\sqrt{a^2−u^2}} = \arcsin \left(\frac{u}{a}\right)+C \int\frac{du}{a^2+u^2} =\dfrac{1}{a}\arctan \left(\dfrac{u}{a}\right)+C \int\frac{du}{u\sqrt{u^2−a^2}} =\dfrac{1}{a}\text{arcsec} \left(\dfrac{|u|}{a}\right)+C }

Integration into Inverse trigonometric functions using Substitution by The Organic Chemistry Tutor

Integrating using Inverse Trigonometric Functions by patrickJMT