SOLUTION: Find the exact value of the integral cosx-cos^2(x) in terms of x from x=0 to x=pi/2

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Question 1121445: Find the exact value of the integral cosx-cos^2(x) in terms of x from x=0 to x=pi/2
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!




Apply linearity:




The first term is a standard integral, I'll leave that to you. Use the reduction formula for the second term:



And for this problem , hence the antiderivative for the second term is:



You can do your own arithmetic


John

My calculator said it, I believe it, that settles it