Homework Help

Find the indefinite integral `inte^(x^5) x^4 dx`  U=x^5

user profile pic

jjmgingrich | Student, Undergraduate | Salutatorian

Posted July 29, 2013 at 12:12 PM via web

dislike 1 like

Find the indefinite integral

`inte^(x^5) x^4 dx` 

U=x^5

1 Answer | Add Yours

user profile pic

jeew-m | College Teacher | (Level 1) Educator Emeritus

Posted July 29, 2013 at 12:28 PM (Answer #1)

dislike 1 like

`U = x^5`

`(dU)/(dx) = 5x^4`

`dU/5 = x^4dx`

`inte^(x^5)x^4dx`

`= inte^UdU/5`

`= 1/5inte^UdU`

`= 1/5e^U+C` where C is a constant.

`= 1/5e^(x^5)+C`

So the answer is;

`inte^(x^5)x^4dx= 1/5e^(x^5)+C`

Sources:

Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes