Evaluate : ∫ √(e^3x - e^2x)/(e^x + 1)dx

Question

Evaluate :

\(\int \sqrt{\frac{e^{3x} - e^{2x}}{e^x + 1}}dx\)

∫ √(e^3x - e^2x)/(e^x + 1)dx

Answer 1

∫ √(e^3x - e^2x)/(e^x + 1)dx

In I₁, put t² - 1 = θ

∴ 2t dt = dθ