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nickhouraney

  • one year ago

integrate (x^3+x^4tanx) dx from x=-pi/4 to pi/4

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  1. nickhouraney
    • one year ago
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    \[\int\limits_{-\pi/4}^{\pi/4} (x^3+x^4tanx) dx\]

  2. hartnn
    • one year ago
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    check whether x^3+x^4 tan x is odd function or not. if its an odd function, then the integral =0

  3. hartnn
    • one year ago
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    the function is odd if f(x) = -f(-x) and a property of indefinite integral is \(\int \limits_{-a}^af(x)dx=0\) if f(x) is odd function, \(\int \limits_{-a}^af(x)dx=2\int \limits_{0}^af(x)dx\) if f(x) is even function.

  4. nickhouraney
    • one year ago
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    what if its neither lol

  5. hartnn
    • one year ago
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    if its neither, you have to integrate the function as it is....no simplification...

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