Asked by Amelia
Integration By substitution
ive been given this equation
int x^2(x^3-6)^3 dx using u = x^3 -6
but i don't understand how to do it
please help
ive been given this equation
int x^2(x^3-6)^3 dx using u = x^3 -6
but i don't understand how to do it
please help
Answers
Answered by
drwls
If you let u = x^3 -6, then
du = 2 x^2 dx
and the integral can be rewritten as
int (1/2) u^3 du
which is (1/6)u^4/4 = (1/6)(x^3-6)^4
du = 2 x^2 dx
and the integral can be rewritten as
int (1/2) u^3 du
which is (1/6)u^4/4 = (1/6)(x^3-6)^4
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.