Integral x^2 3 akar 1- x^3 dx

Materi: Integral

Misalkan
u = 1 - x^3 sehingga du = -3x^2
berarti
int (x^2 akar^3 (1-x^3) dx)
= -1/3 int (u^(1/3) du)
= -1/3 (1 / (1/3+1) u^(4/3)) + C
Substitusikan u kembali.
= -1/3 × 3/4 (1 - x^3)^(4/3) + C
= -1/4 (1 - x^3) × akar^3(1 - x^3) + C