Evaluate the integral by making the substitution Solutionu
Evaluate the integral ![]() .![]() |
Solution
u = x^4 - 8
du = 4x^3 dx
x^3 dx = du/4
Therefore:
int x^3 (x^4-8)^9 dx =
int u^9 /4 du =
1/40 u^10 + C =
1/40 (x^4 - 8)^10 + C

Evaluate the integral ![]() .![]() |
u = x^4 - 8
du = 4x^3 dx
x^3 dx = du/4
Therefore:
int x^3 (x^4-8)^9 dx =
int u^9 /4 du =
1/40 u^10 + C =
1/40 (x^4 - 8)^10 + C
