Integral x/(1-2x²) dx

Penyelesaian:

∫ x/(1-2x²) dx
= ∫ x (1-2x²)^-1 dx

d(1-2x²) = -4x dx
d(1-2x²) / -4x = dx

= ∫ x (1-2x²)^-1 d(1-2x²) / -4x
= -1/4 ∫ (1-2x²) d(1-2x²)
= -1/4 . 1/2 (1-2x²)² + C
= -1/8 (1-2x²)² + c