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Math Help - Intergration by substitution 3

  1. #1
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    Intergration by substitution 3

    How do you this one?
    Attached Thumbnails Attached Thumbnails Intergration by substitution 3-003.jpg  
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  2. #2
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    Let
    u=x+3
    v'=sqrt(4-x^2)
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  3. #3
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    More detail please..
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  4. #4
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by camherokid View Post
    More detail please..
    TPH is suggesting integration by parts. see your other post on integration by parts to see the full method

    i would expand the brackets first though, since the question says to write it as two integrals
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  5. #5
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    I guess the integral is int((3+x)*sqrt(4-x^2),x=-2..2)).
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  6. #6
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    Quote Originally Posted by curvature View Post
    I guess the integral is int((3+x)*sqrt(4-x^2),x=-2..2)).
    Then we have the following:
    Attached Thumbnails Attached Thumbnails Intergration by substitution 3-july01.gif  
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  7. #7
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    Quote Originally Posted by curvature View Post
    I guess the integral is int((3+x)*sqrt(4-x^2),x=-2..2)).
    No one can integrate (3+x)*sqrt(4-x^4) by hand.
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