Question

Integral subtitusi

∫x√(x^2-1 dx) =

Answer 1

∫x(x² - 1) dx
misal:
u = x² - 1
du = 2x dx
1/2 du = x

∫x(x² - 1) dx = ∫u 1/2 du
= 1/2 ∫u du
= 1/2 (1/2 u² + C)
= 1/4 u² + C
= 1/4 (x² - 1)² + C