Question

Solve
\[\int\limits_{}^{} (a+bx^{2})/(3ax + bx^{3})^{1/2}\]

How do I solve this?

Answer 1

assuming a and b are constants and integrating with respect to x?

Answer 2

Yeah I guess I should have probably assumed they were constants

Answer 3

nvm I got it
its

u=3ax + bx^(2)
du/3 = ax + bx^(2)

Answer 4

(1/3)(3ax + bx^(3))^(1/2) + c

Answer 5

oh, the numerator is (a + bx^2). I was doing it as (a + ba^2). yes, that's it...

Answer 6

and no wonder I could'nt get it...
http://www.wolframalpha.com/input/?i=integrate+%28a%2Bb*a%5E2%29%2F%283*a*x%2Bb*x%5E3%29%5E1%2F2%29+dx

Answer 7

thanks for the help