Evaluate the improper intergal 1 dx using the residue (x² + 100)? theorem.

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A: ddxln kx=ddxln x, where x>0 & k is a positive real number.

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A: Given,         The integral of xsinx2dx from x=0 to x=π .

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A: Calculate the integral in terms of the inverse hyperbolic functions.

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A: We have to evaluate the given double integral   The given expression is

Q: x° cos 2x dx

A:

Q: Use the definition of the definite integral to evaluate fo (2x – 1)dx. Use a right-endpoint…

A: To Find: a. Use the definition of definite integral to find ∫032x-1dx.b. Use right-endpoint…

Q: Evaluate the indefinite integral: (8e" + 5 sec? u) du =| + C.

A: We use integration of eu=eu and integration of sec2u= tanu .

Q: Evaluate the integral or show that it is divergent.

A: Given: I=∫2∞dxxlnx                           ..1 for evaluating given integral, we substitute lnx=t…

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A: Given,          ∫1x22-1xdx

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A: We will evaluate the integral if it exists in the following step.

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A: Consider the following integral: ∫cosxesinxdx Substitute sinx=p→cosxdx=dp in the above integral:…

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A: ∫1-sinxcosx dx

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A: We have to find the integral

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A: Given integral:

Q: In Exercise, evaluate the given integral. ∫ (sinx-3cosx)dx.

A: To evaluate the integral

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A: As per guide line we have

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A: NOTE: Refresh your page if you can't see any equations. .

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Q: Evaluate the integral dx by using part 1 of the Fundemanl Theorem of Calculus, is equal to: -12

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