By method of Integration by Partial Fractions, A *(x³ + 5x²+6) dx (x²–2x+5)² = √[₁²-²2x+5 (A) True B (2x-2) + C1 + x²-2x+5 (x² - 2x + 5)² dx

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A: Let's integrate by using trigonometric substitution.

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A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

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A: Please see the below picture for detailed solution.

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A: Follow the procedure given below.

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Q: By method of Integration by Partial Fractions, (x³ +5x²+6) dx (x²–2x+5)² A True B) False A B (2x-2)…

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A: We will evaluate the given integral by using substitution method as shown below

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Q: 10. The volume of the solid generated by revolving the region bounded by x²=4y and y2=4x about y=4…

A: The region bounded by the given curves x2=4y & y2=4x is: which is rotated around y=4.

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A: We have to calculate the area of the smaller region bounded by x+52=2y from left sides,and bounded…

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A: Answer is (A)

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