# How do you use the second fundamental theorem of Calculus to find the derivative of given #int tan(t^4)-1) dt# from #[1, x^3]#?

##### 1 Answer

May 3, 2016

Please see the explanation section below.

#### Explanation:

The second fundamental theorem of calculus tells us that

where

That is,

Nore that, since

We have been asked for the derivative of

# = 3x^2(tan(x^12)-1)#