# Math Help - indefinite integral

1. ## indefinite integral

Which of the following is an indefinite integral of ?

I know that $\int \frac{dx}{a^2-x^2}=\frac {1}{a}tanh^{-1} \frac{x}{a}+C$ and then I manipulated it to $\int \frac{6}{244-227x^2}dx=6 \int \frac{dx}{244-227x^2}dx$ but I got stuck after that.

2. Originally Posted by Haris
Which of the following is an indefinite integral of ?

I know that $\int \frac{dx}{a^2-x^2}=\frac {1}{a}tanh^{-1} \frac{x}{a}+C$ and then I manipulated it to $\int \frac{6}{244-227x^2}dx=6 \int \frac{dx}{244-227x^2}dx$ but I got stuck after that.
$\frac{1}{244-227x^2}=\frac{1}{227 \left(\frac{244}{277}-x^2\right)}=\frac{1}{227} \cdot \frac{1}{\frac{244}{277}-x^2}$

So $a=\sqrt{\frac{244}{277}}$