53х dx (53x + 1)2 A) 3 V5x + 1 + C B) – 3 V5x + 1 + C In5 3 C) 3ln5 (V5x + 1) + C D) V5x + 1 + C 3 E) Ins (V5x + 1) + C

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A:

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A: Please see the below picture for detailed solution. 

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A: We  re asked to find the area of the region.

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

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A: The given integral is: I=∫sinθ2cosθ2sin(θ) dθ=12∫2sinθ2cosθ2sin(θ) dθ=12∫sin(θ)sin(θ) dθ=12∫1-cos2θs...

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A: Please see the below picture for detailed solution.