Solve the following integrals

Q: +4 -dy y 2.

A: As our guidelines we are supposed to answer only one question

Q: Solve the following improper integral

A: To Solve the following improper integral

Q: fcos -x dx

A: Proceed as shown below...

Q: Solve the following integral using integration by parts: xe tax dx

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Q: Solve the following integrals using any appropriate method of integrations: Jan a) xIn(3x +1)dx.

A:

Q: Evaluate the following integrals using the required method of integration. Show complete, clear, and…

A: Using integration by parts rule.

Q: Q3. Use tabular integration by parts to evaluate the following Integral (x² +x+ 1) sin x dx

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Q: ollowing integral

A: we have to evaluate the

Q: In the given equation , select the basic integration formula you can use to find the indefinite…

A: The given integral is ∫cosx esin x dx. The basic integration formula for the above integral is ∫eu…

Q: 2. Evaluate each of the following integrals using the indicated technique. (Ad- ditional techniques…

A: We have to evaluate the given integral

Q: aluate

A: We have to evaluate the following integral.  c) ∫1(x2+1)32dxd) ∫1x3x2-1dx

Q: Evaluate the integral Using residues and any e. other method which can be applied to solve this…

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Q: 2. Evaluate each of the following integrals using the indicated technique. (Ad- ditional techniques…

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Q: We can apply General Power Formula of Integration on which of the following integrals? A…

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Q: Evaluate the following indefinite integral Use C for any constant of integration 81 – x10 dx =

A: ∫tn dt = tn+1n+1+C ∫cos(at) dt =1asin(at)+C

Q: 2. Evaluate each of the following integrals using the indicated technique. (Ad- ditional techniques…

A: Solve intregal

Q: In the given equation as follows, use integration tables to find or evaluate the integral :- see the…

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Q: x²dx 3 ; by trigonometric substitution (9-x²)7

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Q: Solve the integral below using integration by part. [(2x - 3) 3) e* dx

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Q: In the given equation as follows, use integration tables to find or evaluate the integral :- see the…

A: Given: ∫x4+5x2dx

Q: Solve the following Integral Equation by Method of Successive Approximation:

A: Given: y(x)=1+λ∫011-3xty(t)dt This is in the form g(x)=f(x)+λ∫K(x,t)g(t)dt In the method of…

Q: We can apply General Power Formula of Integration on which of the following integrals? A /…

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Q: 5 tan x dx sec x

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Q: Evaluate the following integral using integration by parts. 3 sin -13x dx

A: Given integral is

Q: h) S dx 1 g) S", cost t dt -π/4 x²Vx2

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Q: 2 "log(x²)\dx . -- log(x*

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Q: 10Evaluate the integral 2TT ex ス

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Q: Use an appropriate change of variables to solve the following integral. (Use a capital C as the…

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Q: dx 17. 2 18+4x-4r² |

A: We will solve the problem.

Q: Solve the following integral using integration by parts: In finx dx √x

A: To evaluate the given integral∫ln(x)xdx using integration by parts.

Q: Q2. Use integration by parts method to evaluate the following integrals. 9.

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Q: Evaluate the following integrals using integration by parts method: x sin 2x dx

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Q: 5. dx 3+ Vx+2

A: Solve the following

Q: Select the basic integration formula you can use to find the indefinite integral, and identify u and…

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Q: Evaluate the following integrals using the required method of integration. Show complete, clear, and…

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Q: ( (x²+x+8)dx (x2+3х-4)

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Q: |cos' y sin' ydy cos³ sin’ ydy

A: Strip out one cosine and write everything else in terms of the sine, using the formula…

Q: Evaluate the following integrals using the required method of integration. • Show complete, clear,…

A: Given: I=∫xcosx2dx   ...1 Apply the integration by parts to solve the given integral. ∫udv=u·v-∫vdu…

Q: Evaluate the integrals in the following questions using integration by parts

A: Integration by parts formula:∫uv dx =u∫v dx -∫(dudx ∫vdx) dxI=∫ θ cos πθ  dθu=θ, dudθ=1v=cosπθ, I=θ…

Q: 2. Evaluate each of the following integrals using the indicated technique. (Ad- ditional techniques…

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Q: S HENN -dx x4-4

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Q: (4 x 8ª + 4ª + 6* ln 6) dx

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: Q2. Use integration by parts method to evaluate the following integrals.

A:

Q: 1. x²dx 2 3 (16—х?): 2

A: Solved using step by step solution shown below, using the formula of trigonometric function.

Q: SV4+ vx dx ; by algebraic substitution

A: Explanation of the answer is as follows

Q: 4 /1– 4x² dx 4х

A: ∫01/41-4x2dx

Q: Evaluate the following integrals using “Integration by Substitution

A: ∫z7(10z8-4)dzGiven that:

Q: 20. [ x sin² xdx

A: Use bypart integration .

Q: 5. Solve the following integral using integration by parts: finx dx

A:

Q: (x²–x) 1.) S-x) _dx x3+15+12

A: Note: As per company policy we are supposed to solve only 1 question, SO, kindl