Question

Find integral

Answer 1

\[\large \int\limits \dfrac{dx}{\sqrt{2x^3+10x}}\]

Answer 2

http://en.wikipedia.org/wiki/Elliptic_integral#Incomplete_elliptic_integral_of_the_first_kind

Answer 3

There are several ways in which the above integral can be found. The popular approach is to simplify the expression by assuming x to be some comfortable trigonometric function.
Here you can write: 2x(x^2 +5)
When you substitute \[x = \sqrt{5} \tan y\]
Then simplify and you will get a form which is easy to integrate. Reverse the substitution from y to x when you are done

Answer 4

i tried the online integrator. which gave me this answer :P..

http://integrals.wolfram.com/index.jsp?expr=1%2F+sqrt%5B2x%5E3%2B10x%5D&random=false

Answer 5

Great program