How to find this integral?

Integrate: (x^4)/(x^2 + 4)

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Originally Posted by AlphaRock

Integrate: (x^4)/(x^2 + 4)

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Since the numerator has higher degree than the denominator, start by dividing: . The first two should be easy and

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Originally Posted by HallsofIvy

Since the numerator has higher degree than the denominator, start by dividing: . The first two should be easy and

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Thanks. Now if the numerator has the same degree as the denominator, would we just leave and do the integration by partial fractions?

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Originally Posted by AlphaRock

Thanks. Now if the numerator has the same degree as the denominator, would we just leave and do the integration by partial fractions?

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If the numerator and denominator have the same degree, it's technically still an improper fraction so cancelling it will often make in easier to integrate.