Asked by Vanessa
Find the indefinite integral.
x^2(5 x^3 + 9)^3 dx
x^2(5 x^3 + 9)^3 dx
Answers
Answered by
Reiny
I observed that the derivative of the inside of the bracket sits out front as a multiple of that.
If that is the case, I just reverse by "thinking"
if dy/dx = x^2(5x^3 + 9)^3
y = (x^2/(15x^2)) (5x^3 +9)^4 * (1/4)+ c
= (1/60) (5x^3 + 9)^4 + c
If that is the case, I just reverse by "thinking"
if dy/dx = x^2(5x^3 + 9)^3
y = (x^2/(15x^2)) (5x^3 +9)^4 * (1/4)+ c
= (1/60) (5x^3 + 9)^4 + c
Answered by
Vanessa
Thanks Reiny for all your help, I really appreciate it.
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.