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Integrals: Trig Substitution 3 (long problem)

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Uploaded by on Oct 14, 2009

Example using trig substitution (and trig identities) to solve an integral.

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LICENSE: Creative Commons (Attribution-Noncommercial-No Derivative Works).

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  • you forgot + C at the end

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  • OHMAGAD I GET IT NOW! a week in university = 18 minutes on youtube.

  • @NOMVrewq It stays positive. You only add a plus minus sign when you get rid of the square root sign.

  • Great video! I just have 2 questions. Should the «2» become a «+ or - 2» when you pull it out from the square root at 3:35? Does it even matter?

  • @hmmmmusic

    This will solve ur problem:

    (en(dot0wikipedia(dot)org/wiki­/Trigonometric_substitution#Su­bstitutions_that_eliminate_tri­gonometric_functions)

  • Thank you for your video! I have a few questions :)

    how do you decide to set ((x-3)/2)^2 equal to sin^2 theta?

    Can't it also equal to cos^2theta? b/c 1-cos^2theta= sin^2theta and 1-sin^2theta=cos^2theta. and you are simply substituting sin^2theta or cos^2theta in the formula 1-u^2?

    Thank you Prof Khan!

  • i seriously had a headache from following this...

  • nice. i had the same problem. the only difference is that mine is a definite integral. SMH. -_-

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