1. Basic intergation

Well this problem I keep getting really wrong and it is frustrating haha.
The problem is from -3 to sin(x) and h(x) = (cos(t^4)+t) dt

2. I'm assuming the question is what is dh/dx ?

In which case this is a FTC problem
See attachment

umm the problem says this...i think i forgot to say this at first.

Use the Fundamental Theorem of Calculus to find the derivative of said problem

h' (x) =

4. the answer is in the attachment of my previous post

5. Thank you for your time but for some reason or another it is telling me that the answer is wrong and i don't know why. Thank you though

6. Aah yes

it should be [cos(sin^4(x) +sin(x)]cos(x)

The method was right but i got sloppy substituting back sin(x)

7. YAAAAA THANK YOU SO MUCHHHH thank you

8. see correct version