Evaluate xcos'2x sin 2xdx 3.

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A: We know that integration of xn is xn+1/n+1.       Here i attached solution of this question.

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A: To evaluate the given integral

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A: The graph of the function y = sin 3x is as shown below:

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A: We will evaluate the definite intrgral as following.

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A: Since the upper limit = the lower limit  So the value of the function will be 0

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A: Explanation of the answer is as follows

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A: The double integrals can be solved by solving the inner integral first followed by the outer…

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A: given expression :

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A: To evaluate the integral  ∫3x2 sinx3 dx

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A: To evaluate:∫sin2xcos5xdx

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A:

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A: Solution is done in step 2

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A: We will evaluate the integral as following.

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A: Evaluate:

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A: We know that : sin2x + cos2x =1. we know that integration of xn = xn+1/ n+1 We use all of  this to…

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A: See the details solution in below

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A: Given:∫ sin2 ax dx