Which Substitution to Use to Solve the Integral? Part 1 | (Ali BA)

Trig substitution has two types:
1) sin substitution x=a*sin(theta). In case of the integrand has the form: sqrt(a^2-x^2)
To simplify the integrand, we use the trig identity: cos^2+sin^2=1
2)tan substitution x=a*tan(theta). In case of the integrand has the from: a^2+x^2 or square root of that.
To simplify the integrand, we use tan=sin/cos and then we use the trig identity: cos^2+sin^2=1

If you have any questions or suggestions, let me know in the comments below.

Material in this video is taken from Calculus: Single Variable, 6th Edition by (Hallet, McCallum, Gleason, et al.)