## anonymous one year ago How to integrate 3 functions?

1. anonymous

Find $\int\limits_{}^{} (-11e^{-t^{3}} * (\sin(x))^{4} d/dx) d/dx$

2. anonymous

Oops It's -11e^x^3

3. anonymous

But I did find the derivative inside the integral which is... $-44e^{-t^{3}} \sin^{3} x \cos(x)$

4. anonymous

And then when you simplify, you get... $-44 \int\limits_{}^{} e^{-x^{3}} \sin^{3} x \cos x dx$

5. anonymous

^This is the step I'm stuck on...

6. ganeshie8

Hey take a screenshot of actual problem and attach if psble

7. anonymous

Sure!

8. IrishBoy123

you are integrating a derivative here.

9. anonymous

Yes but when you see my work above ^ we end up with 3 functions inside the integral! :)

10. ganeshie8

don't you see the integral and derivative kill each other out leaving you with the function inside so you don't have to do any work

11. ganeshie8

|dw:1436011182130:dw|

12. anonymous

O. I feel really stupid xD