Question

another easy trig substitution please...

\(\LARGE \int \frac{x^2}{(x^2 + a^2)^{\frac{3}{2}}} dx\)

Answer 1

@Mimi_x3 and @apoorvk :D

Answer 2

substitute\[x = a \tan \theta\]

Answer 3

then...?

Answer 4

then differntiate it..

Answer 5

\(\large dx = a\sec^2 \theta\)

Answer 6

\(d \theta\)

Answer 7

\[\int\limits\frac{(atan\theta)^{2}}{((atan\theta)^{2}+a^{2})^{\frac{3}{2}}} *asec^{2}\theta \]
then simply it..

Answer 8

i cant see how it is gonna be simplified o.O

Answer 9

ohwhait i do...

Answer 10

the denom will be a^2 ( sec^2 theta)]^3/2 right?