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Math Help - Which methods to use to find the integrals.

  1. #1
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    Which methods to use to find the integrals.

    I'm trying to find the indefinite integrals for the two equations below. What methods do I use to solve?



    Which methods to use to find the integrals.-math_image.gif

    Which methods to use to find the integrals.-math_image-5-.gif (-1 < x < 1)



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  2. #2
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    Re: Which methods to use to find the integrals.

    The first one can be solved by integration by parts, let u = arctan x, dv = 2x^3 + x
    Second one can be done easily by a substitution of u = 1 - x^2
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  3. #3
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    Re: Which methods to use to find the integrals.

    Quote Originally Posted by jennybee View Post
    I'm trying to find the indefinite integrals for the two equations below. What methods do I use to solve?



    Click image for larger version. 

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ID:	27559

    Click image for larger version. 

Name:	math_image (5).gif 
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ID:	27560 (-1 < x < 1)



    Thanks
    For the first one use integration by parts

    u=\tan^{-1}(x) \quad dv=2x^3+x

    For the 2nd one use a u du substitution

    u=1-x^2
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  4. #4
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    Re: Which methods to use to find the integrals.

    Thanks to both of you. Loving the Sephiroth avatar
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