10 dx a > 0 (a2 + x2)3/2'

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A: Consider the given integral ∫11+xdx. Integrate the given integral with respect to x as follows.…

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A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

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A:

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A: Here we have to calculate I=∫ln22x+1(2x+1)dx

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A:

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A: We use partial fraction method

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A:

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A: To find , when .

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A: To evaluate,∫1x2x-22dx

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A:

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A:

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A:

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A: Explained below

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A: Given query is to find the derivative of the expression.

Q: The value of (i)' is = ... O T/2 O T/2 O e^(-T/2) O e^(Tt/2)

A:

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A: The given integral is ∫ 3cos2πxdx.

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A: To calculate: The integral ∫1x1+x2. Calculation: Apply the u-substitution method u=1+x.…

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A:

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A:

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A: Given, ∫047x2-9dx