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Integration do i use substitution or parts?

  1. Oct 15, 2006 #1
    Hi,

    i am stumped on how to start this:

    integration of sin(ROOT(1 + x))

    so, basically sin of square root 1 + x

    thanks

    James
     
  2. jcsd
  3. Oct 15, 2006 #2
    I think you'll end up using both, try the substitution u=sqrt(1+x)
     
  4. Oct 15, 2006 #3
    hi

    we can

    u=(1+x)^(1\2)
    du.u=dx
    integrat(u.sin(u).du)

    and you can use parts to compleat
     
  5. Oct 15, 2006 #4
    thanks!

    i get now to

    INTEGRAL(u * sin(u)) du

    ok, so now what should I do?

    thanks

    James
     
  6. Oct 15, 2006 #5
    nvm, i got it
     
  7. Oct 16, 2006 #6
    hi

    u.sin(u)du

    and you can use parts to compleat

    z=u .......dm=sin(u)du
    dz=du......m=-cos(u)

    = -u.cos(u)-INTEGRAL(-cos(u)du)

    after

    u=(1+x)^(1\2)

    and substitut by (1+x)^(1\2)

    tanks's
     
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