How do I integrate Cos x Sin x dx?
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How do I integrate Cos x Sin x dx? I'm working on an engineering problem and having trouble getting up to speed with simple integral calculus. Any help is much appreciated!
Other Answers (5)Rated Highest
cosx sinx dx = 1/2sin^2 x +c ,meaning half of sinx square
also cosxsinx = -1/2cos^2 x + c ,means half of cos square negative.
∫cosx sinx dx
= ∫sinx dsinx
= (1/2)sin^2(x) + c
dy/dx (cos x) = - sin x
dy/dx (sin x) = cos x
then integrating them wld be the opp of it.
integral of Cos x = sin x
Integral of Sin x = - cos x
Integral of Cos x Sin x
= Integral of Cos x + integral of Sin x
= Sin x - cos x
CosXSinS is as simplified as it gets.
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