A region is bounded by the y=x² and y=6x-x² Which of the following integrals would approximate the area of this region? A / ² (x² - 6x ) dr ℗(√y-3-√9-y²) dy © S²(√y-3+ √9-y²) dy © L² (Gr. (6x-x²) dx

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A: This question can be solved using the concept of linear differential equation.

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A: A detailed solution is given below.

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A: topic- partial differentiation

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A: We have to choose the values that are in range of arctanThe range of arctan x is -π2, π2

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A: To sketch the region of the integration.

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Q: secxtanxd 9+4sec²x 7. S

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A: This question can be solved using the concept of height and distance.

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A: To integrate x3ex dx. We apply integration by parts amd in form of udv. u is set as

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