a) Find the area of the region enclosed between the curve y = x² and the line y = 4x. b) Find the length of the curve x= 3t² and y = 2t³, 0≤t≤2 c) Find the surface area generated by rotating the curve y = (x² + 2)3/2, 0≤x≤3 about the y-axis.

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A: Topic = Integration

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A: I am attaching image so that you understand each and every step.

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A: NOTE: Refresh your page if you can't see any equations. . the given integration is  the limits of x…