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View Full Version : Math Quiz 6

Ether
03-03-2015, 12:01
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.
Jared Russell
03-03-2015, 12:38
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...
Bryce Paputa
03-03-2015, 12:43
Credit goes to our driver, not me.

http://i.imgur.com/mYru6ww.jpg
Rachel Lim
03-03-2015, 12:57
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
Ether
03-03-2015, 13:03
Credit goes to our driver, not me.

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

Does your driver have a CD account? I'll give him some reps :-)
Karthik
03-03-2015, 13:04
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

This is both correct and the proper form. I appreciate the final set of substitutions.
Ether
03-03-2015, 13:04
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

Wow. Nice work. Reps to you!