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Math Help - Evaluating a definite integral

  1. #1
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    Evaluating a definite integral

    \int [cos(x)\cdot e^{2sin(x))}+\pi \cdot cos(4x)+\sqrt{2}\cdot x^{1/3}+\frac{1}{x}] dx

    undefinite integral btw , I normally know how to do these, but the multiplication inside the integration is confusing me
    Last edited by Larrioto; January 26th 2009 at 05:57 PM. Reason: i suck with latex
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  2. #2
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    I agree ... your latex skills leave much to be desired.

    Is this your integral ?

    \int \cos{x} \cdot e^{2\sin{x}} + \pi\cos(4x) + x^{\frac{3}{2}} + \frac{1}{x} \, dx
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  3. #3
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    Quote Originally Posted by skeeter View Post
    I agree ... your latex skills leave much to be desired.

    Is this your integral ?

    \int \cos{x} \cdot e^{2\sin{x}} + \pi\cos(4x) + x^{\frac{3}{2}} + \frac{1}{x} \, dx
    no , i have it right this time just look up
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  4. #4
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    Quote Originally Posted by Larrioto View Post
    \int [cos(x)\cdot e^{2sin(x))}+\pi \cdot cos(4x)+\sqrt{2}\cdot x^{1/3}+\frac{1}{x}] dx
    \frac{e^{2\sin{x}}}{2} + \frac{\pi\sin(4x)}{4} + \frac{3\sqrt{2}}{4} x^{\frac{4}{3}} + \ln|x| + C
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  5. #5
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    Quote Originally Posted by skeeter View Post
    \frac{e^{2\sin{x}}}{2} + \frac{\pi\sin(4x)}{4} + \frac{3\sqrt{2}}{4} x^{\frac{4}{3}} + \ln|x| + C
    i see how you get your ln|x|+C , but I just don't get how you get the rest, what happens when you multiply in an integration, could you do it step by step please ?
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