# Math Help - Help needed integrating a simple function

1. ## Help needed integrating a simple function

I need to integrate the following function (see attached bild) and the result need to be 1.
I think what I have done wrong might be finding the primitive function (I did what it's on the right side of the equation). I would appreciate if anyone could tell me how to solve it.

Oh.. btw, I would also like to know hoe to use the math code here. Is there any guide or software for writing equations?

2. Originally Posted by sebasto
I need to integrate the following function (see attached bild) and the result need to be 1.
I think what I have done wrong might be finding the primitive function (I did what it's on the right side of the equation). I would appreciate if anyone could tell me how to solve it.

Oh.. btw, I would also like to know hoe to use the math code here. Is there any guide or software for writing equations?
The general formula is:

$\int (x^n)dx = \dfrac1{n+1} x^{n+1} + C$

In words: Add 1 to the exponent and divide by the new exponent.

$\int\left(\dfrac1{x^{\frac32}}\right)dx = \int\left(x^{-\frac32}\right)dx = \left[-\dfrac1{\frac12} \cdot x^{-\frac12}+C \right] = -\dfrac2{\sqrt{x}} + C$