Extension of: Quick integration yes or no question...no work involved?



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I need to find the integral of: sin(radical(at)) dt.

Even though I now know that "a" is a constant, I'm still having trouble solving the integral. Any suggestions? Thanks!

Extension of: Quick integration yes or no question...no work involved?theatre

Well, substitute u = a t. du = a dt, so you'll have a factor of (1/a) left over. Then just solve:

(1/a) ∫ sin(√u) du

You'll want to probably use integration by parts:

http://en.wikipedia.org/wiki/Integration...

by letting u = sin(√t) and dv = dt

If you want me to work it out, I can, but you only want suggestions, so I'll leave it up to you.

The answer, so you can check your work, is:

(2/a) [ sin(√(at)) - √(at)cos(√(at)) ]

Extension of: Quick integration yes or no question...no work involved?opera music opera theaterYou're welcome. Report It

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