Math Quiz 6

*Find the antiderivative of sqrt(x2+4).

Show all steps, using only methods typically presented in a second-semester college freshman calculus class.

I’m looking for the steps, not just the final answer.

I think step 1 is to do a trigonometric substitution for x, but the details of how to do so are covered in mental cobwebs…

Credit goes to our driver, not me.

http://i.imgur.com/mYru6ww.jpg

I guess I type too slowly…I got the same answer although I simplified it further with arsinh. My working (I did it in LaTeX) is here: http://goo.gl/k778i9

Does your driver have a CD account? I’ll give him some reps :slight_smile:

This is both correct and the proper form. I appreciate the final set of substitutions.

Wow. Nice work. Reps to you!