`F(x) = int_sqrt(x)^(2x)(arctan(t))dt` Find the derivative of the function.

Asked on by enotes

Textbook Question

Chapter 5, 5.3 - Problem 58 - Calculus: Early Transcendentals (7th Edition, James Stewart).
See all solutions for this textbook.

1 Answer | Add Yours

shumbm's profile pic

Borys Shumyatskiy | College Teacher | (Level 3) Associate Educator

Posted on


Let's temporarily denote the antiderivative of `arctan(t)` as `A(t).`

Then `F(x)= A(2x)-A(sqrt(x)),`



Recall what `A'(x)` is and obtain


We’ve answered 319,653 questions. We can answer yours, too.

Ask a question