# Basic intergation

• Sep 9th 2009, 10:03 AM
mbrez88
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
• Sep 9th 2009, 10:19 AM
Calculus26
I'm assuming the question is what is dh/dx ?

In which case this is a FTC problem
See attachment
• Sep 9th 2009, 10:38 AM
mbrez88
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) =
• Sep 9th 2009, 10:40 AM
Calculus26
the answer is in the attachment of my previous post
• Sep 9th 2009, 10:50 AM
mbrez88
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
• Sep 9th 2009, 11:01 AM
Calculus26
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)
• Sep 9th 2009, 11:05 AM
mbrez88
YAAAAA THANK YOU SO MUCHHHH thank you
• Sep 9th 2009, 11:06 AM
Calculus26
see correct version