Question #80cb5
1 Answer
Apr 8, 2017
Explanation:
- Simplify powers
- Substitute u =
x^(3/2)x32 and du =(3sqrt(x)) / 23√x2
- Take a^3 out of the root
- Factor out contsants
- Substitute r =
u / a^(3/2)ua32 and dr =a^(-3/2)a−32 du
- The integral of
1/sqrt(1 - r^2) is sin^(-1)(r)1√1−r2issin−1(r)
- Substitute back r and u
- Remove negative exponents