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  1. #1
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    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.
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    Quote Originally Posted by Haris View Post
    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}}
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