Evaluate the integral by using a substitution prior to integration by parts. 9 sin ( In (8x)) dx 9 sin ( In (8x)) dx =

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A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

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Q: Evaluate the given integral using the substitution (or method) indicated. (Use C for the constant of…

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Q: Use integration by parts to evaluate the following Integral S3 cos x? dx

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Q: Evaluate the integral. (Use C for the constant of integration.) sin?(x) cos (x) dx

A: The given integral is ∫sin2πxcos5πxdx. Let u=πx. Then dx=1πdu. Solve the given integral using the…

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A: Consider I=∫1( e2x-9)32 dx

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A: →Use ILATE to choose function(i) and function(ii), where function(i) is differential part     and…

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A: Given problem:- ∫ (x2 +2x)cos(2x) dx

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Q: a) Evaluate the following integrals by Parts 6) (lnx)² dx In x [√x 8) | Ir 8) In(x² + 4)dx 9) […

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Q: Evaluate the following integrals using integration by parts xF ex dx

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

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A: To Find:

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A: Integrate. ∫2x+34dx=2x+355×1ddx2x+3+C=2x+355×12+C=2x+3510+C

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A: To determine the indefinite integrals.

Q: Evaluate the given integral using the substitution (or method) indicated. (Use C for the constant of…

A: The integral is  ∫ ex/8 dx

Q: 4. Calculate the following integrals by using the integration methods. (4x* + 8x3 + 15x)dx (a) dx…

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Q: Find the integral for the following functions: - ſ e3x . sinh(x) dx

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Q: et dx 2x

A: To evaluate the given interval, ∫exe2x+5dx We use the method of substitution to evaluate the…

Q: Integrate the following integrals using either integration by parts or integration by substitution.…

A: The given integral is ∫xsin1+x32dx. Take u=x.  Then, du=12xdx⇒du=12udx⇒dx=2udu Note that,…

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Q: Q4 Evaluate the following integrals cosh? (=) dx -In2 1 - fe 2 - cosh(lnx) dx

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Q: Approximate the following integrals using the Trapezoidal rule. -0.35 2 -dx x2-4 1. 2. Só x sin(x)…

A: 1.The given integral is, ∫00.352x2-4dx Here, f(x)=2x2-4,taking h=0.05 Let us construct the table as,

Q: 1. Evaluate the following integrals using integration by parts. x5e* dx

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A: Using substitution u=4x-5

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A: By using substitution we calculate the given integral.

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A: Given,           ∫sin4(x)cos(x)dx   and use substitution u=sin(x)

Q: Q3 Evaluate the following integrals X. cosh? () dx -In2 1 - | 2 - cosh(lnx) dx

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Q: Evaluate the integral. (Use C for the constant of integration.) 7 cos (a) da sin(æ)

A: Explanation of the answer is as follows

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Q: Use the table of integrals at the back of the text to evaluate the integrals ∫x cos-1 x dx

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Q: Approximate the following integrals using the Trapezoidal rule. r0.35 2 -dx x²-4 1. xp* 2. 5x sin(x)…

A: Hello. Since your question has multiple parts, we will solve the first integral for you. If you want…

Q: First make a substitution and then use integration by parts to evaluate the integral. (Use C for the…

A: We have to find

Q: ∫dx/(sinx)(cos2x)

A: Integration is calculated using basic properties.

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Q: 1. sin Va +1 dx

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Q: Evaluate the following integral using integration by parts. 19x sin x cOS x dx Use the integration…

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Q: Evaluate the following integrals using Integration by Substitution. 9. S tanx dx

A: Hello! thank you for the question but as per our honor code, we'll able to solve only the first…

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A: Dear Bartleby student, according to our guidelines we can answer only three subparts, or first…

Q: 1 1 x=6 x - 2 dx +oo

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Q: 1 dx x2 (1) x=1 x=1 (2) et dx x=-0 x=-∞

A: (1) Consider

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A: Given   ∫x3dx4x2+152 Use substitution as  4x2+112=sinθ to solve the given integral.

Q: 1. Evaluate the following integrals using integration by parts. In x | sin-y dy

A: "Since you have posted a question with multiple sub-parts, we will solve   the first three sub-parts…