Evaluate the integral by making an appropriate u-substitution and applying any necessary formula(s). U = sin(8 x) dx + C 4 + cos(8 x)

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A: A detailed solution is given below

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A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

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A: To evaluate the following integral by using Walli's formula.∫0π2 sin4 x cos4 x dx

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A: To integrate: ∫0π2x cos (x) dx

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A: We have to use substitution method.

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A: Given: I=∫sin7xcosxdx   ....(1)   We know that; The Power rule: ∫xndx=xn+1n+1+C ; n≠-1

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Q: evaluate the given integral.

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Q: EVALUATE THE INTEGRAL

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Q: Evaluate the integral by making an appropriate u-substitution and applying any necessary formula(s).…

A: Let I is the value of given Integration.

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A: topic - integration

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Q: d) Determine the infinite integrals of the following i. ii. JF 3 sin2x dx

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Q: [sin(In x) + cos(In x)] dx 2.

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…