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First Year College Calculus Question?

+2 votes
Please Help me on this one.

∫ t cos(t) dt
asked Jan 12, 2013 in CALCULUS by angel12 Scholar

1 Answer

+3 votes

∫ t cos(t) dt

Let    t = U and cos(t) =V  then it is in the form of   ∫ UV dV

∫ UV dV = U ∫ VdV - [ ∫ VdV d/dV(U)] dV

t ∫ cos(t) dt - [ ∫ cos(t) dt (d/dt)t] dt

t sin(t) - [ sin(t) (1)] dt

t sin(t) -  sin(t)dt

t sin(t) - (-cos(t)) + constant

t sin(t) + cos(t)) + constant

∫ t cos(t) dt = t sin(t) + cos(t)) + constant

 

I hope this will help you!!!

 

 

answered Jan 12, 2013 by Johncena Apprentice

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