- #1

- 17

- 0

Here's an easy one, I know the answer but can't get there...

[tex]\int\frac{1}{(x^2+z^2)^\frac{3}{2}}dx[/tex]

na

I know this approach is wrong, but why? Or am I not finishing somehow?

[tex]\int\frac{1}{x^3}dx+\int\frac{1}{z^3}dx[/tex]

[tex]\int{x^{-3}}dx+\int{z^{-3}}dx[/tex]

[tex]\frac{x^{-2}}{-2}+xz^{-3}[/tex]

The correct answer should be:

[tex]\frac{x}{z^2(x^2+z^2)^{1/2}}[/tex]

## Homework Statement

[tex]\int\frac{1}{(x^2+z^2)^\frac{3}{2}}dx[/tex]

## Homework Equations

na

## The Attempt at a Solution

I know this approach is wrong, but why? Or am I not finishing somehow?

[tex]\int\frac{1}{x^3}dx+\int\frac{1}{z^3}dx[/tex]

[tex]\int{x^{-3}}dx+\int{z^{-3}}dx[/tex]

[tex]\frac{x^{-2}}{-2}+xz^{-3}[/tex]

The correct answer should be:

[tex]\frac{x}{z^2(x^2+z^2)^{1/2}}[/tex]

Last edited: