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Ether 03-03-2015 12:01

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.



Jared Russell 03-03-2015 12:38

Re: Math Quiz 6
 
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

Re: Math Quiz 6
 
Credit goes to our driver, not me.

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

Rachel Lim 03-03-2015 12:57

Re: Math Quiz 6
 
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

Re: Math Quiz 6
 
Quote:

Originally Posted by Bryce Paputa (Post 1452805)
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

Re: Math Quiz 6
 
Quote:

Originally Posted by Rachel Lim (Post 1452815)
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

Re: Math Quiz 6
 
Quote:

Originally Posted by Rachel Lim (Post 1452815)
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!




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