How do you use the second fundamental theorem of Calculus to find the derivative of given #int sect tant dt# from #[0, x^3]#?
1 Answer
Apr 11, 2016
You have two choices for how to do this.
Explanation:
Method 1
Now use the chain rule to differentiate
We get
Method 2
(Actually evaluate the definite integral.)
Since
So, applying the second fundamental theorem of calculus, we find
Now we differentiate to answer the question: