5160

Mathematics Integration Level: Misc Level

Special type (Partial fraction)
When only even powers of x occur in the numerator as well as the denominator, substitute x^{2}=y to make partial fractions. Once the partial fractions are formed substitute back y=x^{2} and integrate.

\int \frac{x^{2}}{(x^{2}+1)(x^{2}+4)}dx=I

 

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