2 Find 22 + 42 + ... + (2n)². Hence find 12 – 22 + 32 – 42 + ... - (2n), simplifying your answer.

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A: To evaluate the given integral

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A: Solution is written in below steps.

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Q: (e) S (x2+4x+5)2 d.x

A: To integrate: The integral ∫x+1x2+4x+52dx.

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A: Solution is written in below steps.

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A: Let length of one piece be x, then the length of the other piece will be 48−x.

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A: Solution is written in below steps.

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A: We have to find kf(1).

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Q: (-4x-12) dx For J x+10)³ (x-4)³ F(x) – 1. What is F(3)? -

A: Given: ∫-4x-12x+103x-43dx=Fx-1   ...(1)  

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A: Given that        f(t) = (9t + 14)2/3 Here we have to find f'(t) .

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A: Given problem:-

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A: topic - limit and continuity

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