r arcsin(5y) dy. Consider the integral V1– 25y? This can be transformed into a basic integral by letting and u = du dy After performing the substitution, you obtain the integral du Question Help: M Message instructor Submit Question

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A: we have to find anti derivative.

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A: Given query is to find integral converges or diverges.

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A: We have to find the values of m.

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A: answer is in next step . as per guideline i can only answer one question

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A: Comparison Test: Let us consider two series ∑n=1∞un,∑n=1∞vn such that un≤vn ∀n∈N Then ∑n=1∞un…

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A: 7. ∫x4 secx5-9 dx8. ∫tan3x dx

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A: In this question we can verify the Green's Theorem . i.e, ∫C M dx +Ndy = ∫∫R ∂N∂x-∂M∂ydA .

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A: answer is in next step

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A: The solution is given below

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A: Here I am providing my handwritten solution.

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A: The given integral,        ∫x3dxx2-4

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A: we have to change the limit of integration.

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A: The given integral is 3/sqrt(4-9y2).

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A: Here we will find whether series is convergent or divergent,

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A: According to the company rule we can answer only first question and rest can be reposted.

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A: To find the value of the  given integral .

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