b2 – a? */2 Given that use this result and the fact that cos(x) dx = 1, together with the properties of definite integrals, to evaluate (2 cos(x) – 3x) dx.

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A: Explanation of the answer is as follows

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A: The given integral is: I=∫cos2x sin3x dx=∫cos2x(sin2x)sin x dx=∫cos2x(1-cos2x)sin x dx

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A: The given integral is,

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A: ∫0π2(2sinx+3)dx Take integral for each term ∫0π2(2sinx+3)dx∫0π22sinx dx+∫0π23 dx2∫0π2sinxdx+3∫0π2dx…

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