Integral subtitusi dari integral x^3 / (x^4 - 5)

Integral Substitusi

∫ x³ / (x⁴ - 5) dx
u = x⁴ - 5
du = 4x³ dx --> x³ dx = 1/4 du

∫ x³ / (x⁴ -5) dx =
= ∫  x³ (x⁴ - 5)⁻¹ dx 
= ∫1/4 u⁻¹ du
= 1/4 ln u + c
= 1/4 ln (x⁴ -5) + c