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    • Thread Starter

    How would I go about doing this one:

    \displaystyle\int^1_0  \frac{x^4}{1+x^2}\ dx

    I've tried substituting trig functions in an attempt to get rid of the one in the denominator but it's not coming out.
    • Study Helper

    Study Helper
    Polynomial division to get a proper fraction would be a good start.

    Use the "add nothing" trick a couple of times (think x^4 = x^4 + x^2 - x^2 = x^2(x^2 + 1) - x^2 and then x^2 = x^2 + 1 - 1), or just use polynomial divison as suggested above
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Updated: February 4, 2010

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