Section: AP Calc AB

27)
Find the area of the region bounded by y = 2sinx, y=1, x=0, and x=  π
2

Explanation

Area =  ∫ π/2 |2sinx - 1|dx 
0


 =  ∫ π/6  (1 - 2sinx)dx +   ∫ π/6  (2sinx - 1)dx  
0 π/6


 = √3 - 2 -  π
6
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