integrate 1+e4^3/(4x+e4x)^3

1 Answer | Add Yours

pramodpandey's profile pic

pramodpandey | College Teacher | (Level 3) Valedictorian

Posted on

`int(1+e^(4x))/(4x+e^(4x))^3dx`

`` Let    `4x+e^(4x) =t ,`

` 4(1+e^(4x))dx=dt `

`(1+e^(4x))dx=dt/4`

`int(1+e^(4x))/(4x+e^(4x))^3dx`

`=int(dt/4)(1/t^3)=(1/4)intt^(-3)dt`

`=(1/4)(t^(-3+1)/(-3+1))+c`

`=(-1/8)(1/t^2)+c=-1/(4x+e^(4x))^2+c`

Where c is integrating constant.

We’ve answered 315,462 questions. We can answer yours, too.

Ask a question