Evaluate the given integral NOTE: strictly use INTEGRATION BY PARTS in the form: Judv= uv- fvdu. assign values for u, du, and dv, v | 2 sin x cos x In(sin? x) dx use this for reference in trig integrals:

Q: Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.) e40…

A: We have to find

Q: First make a substitution and then ure integration by parts to evaluate the integral. 503 cos(02) de…

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Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.)…

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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…

Q: QS-by using the double integration, find the area that lies inside the curve ra(l+cos e) and outside…

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Q: (x² + 2x) cos(2x) dx

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Q: Use the integration by parts to evaluate the following integral by assuming u = COS 2 dx (cos a + a…

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Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration…

A: It is given that, ∫sec21x5x6dx   Here we'll solve this integral by using the substitution method.…

Q: Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.) 5 sec?…

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Q: Evaluate the integral. (Use C for the constant of integration.) e60 sin(70) de

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Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.)…

A: To evaluate the integral by making the given substitution

Q: tan(x)dx, Ind: u = cos(z)

A: We have to calculate the given integral: ∫tan x dx We know the identity, tan x=sin xcos x Therefore,…

Q: Evaluate the integral. (Use C for the constant of integration.) | sin (0) cos (@) de

A: Given integral, ∫sin3θ cos6θ dθ It can be written as =∫sin2θ sinθ cos6θ dθ=∫1-cos2θ sinθ cos6θ…

Q: The definite integral | [cot2(x) +cse²(x)]dx when evaluated is equal to AV 3 + Br, where A, B are…

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Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

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

A: I=∫e-2θsin6θ dθ Integrating by parts, we get I=∫e-2θsin6θ dθ=e-2θ∫sin6θ dθ-∫de-2θdθ×∫sin6θ…

Q: Use integration by parts to evaluate the following definite integral. Provide exact answer: 1…

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Q: 1. a° cos(2)da = %3D

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Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

A: Use substitutions to integration

Q: Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.) 40 sin…

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Q: Evaluate the integral by making a u-substitution and then integrating by parts. NOTE: Enter the…

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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,…

Q: Evaluate the integral 6 dx (x + a)(x + b) for the cases where a =b and where a + b. Note: For the…

A: Integrate 6/(x+a)(x+b)  If a=b and a=/  b

Q: Using the Simpson's rule for multiple integrals, evaluate the following integral; I| x +y) dx dy

A: To evaluate the double integral ∫cd∫abfx,ydxdy, consider gy=∫abfx,ydx. Now, the double integral…

Q: Evaluate the integral. (Use C for the constant of integration.) 10 cot a csc3 a da

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Q: Use integration by parts to evaluate the integral.

A: Apply integration by parts,

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

A: Using substitution u=4x-5

Q: Evaluate the integral by making a u-substitution and then integrating by parts. NOTE: Enter the…

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Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

A: We have to solve

Q: SET UP the definite integral that will give the area of the shaded region (as shown below) using a.…

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Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

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Q: Evaluate the integral by making a u-substitution and then integrating by parts. NOTE: Enter the…

A: see below the answer and calculation

Q: Evaluate the integral dx (x+ a)(x + b) for the cases where a = b and where a + b. Note: For the case…

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Q: 4ln? (x) dx

A: I have stated the used formulas in the solution

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.)…

A: We have to solve the problem

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) |…

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Q: Evaluate the integral using integration by parts with the indicated choices of u and dv. (Use C for…

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Q: Use integration by parts to find the integrals shares e) f sin? @ de f) esint sin2t dt 8) x²e-* dx…

A: Evaluation of the Integrals

Q: Evaluate the integral. (Use C for the constant of integration.) 2 cos (a) da sin(a)

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Q: cot t dt

A: I=∫ t cot-1t dtu=cot-1t, v=tdu=-1t2+1 dt,  dv=dtIntegration by parts;I=cot-1t ∫t dt -∫ ddt(cot-1t)∫t…

Q: Evaluate the integral by making a u-substitution and then integrating by parts. NOTE: Enter the…

A: Integration

Q: Evaluate the integral by making a u-substitution and then integrating by parts. NOTE: Enter the…

A: The given integral is: I=∫e3x dx

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.)…

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Q: aluate the integral using integration by parts with the indicated choices of u and dv. (Use C for…

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Q: Evaluate the integral using the integration formulas. (Use C for the constant of integration.) wV 4w…

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

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Q: Evaluate the integral by making a u-substitution and then integrating by parts. NOTE: Enter the…

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Q: Evaluate the integral. (Use C for the constant of integration.) 15x cos?(x) dx

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