Question

INTEGRATE : 5x/[(4 + x^2)]^2

Answer 1

\[\int\limits_{}^{}\frac{ 5x }{ (4+x ^{2})^{2} }\]

Answer 2

(5 x)/(x^2+4)^2

Answer 3

Did that help?

Answer 4

what is the derivative of the bottom?

Answer 5

16x + 4x^2 seems about right for the derivative

5x + (11x+4x^2) - (11x+4x^2) doesnt seem to work out well

might try a different method maybe some usub?

Answer 6

u = 4+x^2
du = 2x dx ... du/2 = x dx

Answer 7

so\[\int\frac{5}{u^2}*\frac{du}{2}\]

Answer 8

sorry guys this thing went "updating till now! I am trying to follow your work

Answer 9

and thank you @amistre64, the answer is very right!