- #1
Shannabel
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Homework Statement
find the integral from 0 to 3 of (5x^2+30)/(x^4+13x^2+36)
Homework Equations
The Attempt at a Solution
I thought it may be an integration by parts question, so I tried that first, but the book says that I should be using substitution.
So I tried using u=x^2:
du=2xdx
x=u^(1/2)
(5u+30)du/(u^2+13u+36)(2u^(1/2))
so now I have
(5u+30)du/(2u^(5/2)+26u^(3/2)+72u^(1/2))
but i have no better idea how to integrate that than i did the original equation. any ideas?