Question

Which of the following u-substitutions for ∫ (x(x+2)^2)/(sqrt(x))dx results in 2∫u^(2)(u^(2)+2)^(2)du?

Answer 1

A

Explanation:

u = sqrt(x)

x = u²

dx/du = 2u

dx = 2u × du

x(x+2)²/sqrt(x) . dx

u² × (u²+2)]/u × 2udu

2 × u²(u²+2).du