# Math Help - Easy Integral but I keep getting it wrong

1. ## Easy Integral but I keep getting it wrong

1/(x*sqrt(x))

I am thinking it is equal to x^(-3/2) so the integral should be

-1/2x^(-1/2) + C but thats apparently not correct

2. Originally Posted by TYTY
1/(x*sqrt(x))

I am thinking it is equal to x^(-3/2) so the integral should be

-1/2x^(-1/2) + C but thats apparently not correct
Be careful...

$\int x^{-\frac{3}{2}}\,dx=\frac{x^{\frac{-1}{2}}}{-\frac{1}{2}}+C=\dots$

3. Originally Posted by TYTY
1/(x*sqrt(x))

I am thinking it is equal to x^(-3/2) so the integral should be

-1/2x^(-1/2) + C but thats apparently not correct
$\int x^{- \frac{3}{2}}\, dx = \frac{x^{- \frac{1}{2}}}{- \frac{1}{2}} + c = -2 x^{- \frac{1}{2}} + c$

Better.

4. Originally Posted by Chris L T521
Be careful...

$\int x^{-\frac{3}{2}}\,dx=\frac{x^{\frac{-1}{2}}}{-\frac{1}{2}}+C=\dots$
crap, I multiplied instead of dividing

what an idiot (me)

thank you