Evaluate the integration: r sin(20)drd0 Over the area in the first quadrant bounded between two circles r-2 and r-4.

Q: 3 dt t2 - 4

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Q: by using the double integration, find the area that lies inside the curve r= (8cos e) and outside…

A: Given: The curves r=8cosθ    and r=4

Q: Use the indicated substitution to evaluate the integral.

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Q: Transform the integral fo o sin o sin 0 do de by the substitution x = sin o cos 0, y = sin ø sin 0…

A: Solution: The given integral is I=∫0π2∫0π2sinϕsinθdϕdθ The substitution is x=sinϕcosθ, and…

Q: Use integration by parts to evaluate the integral: pz sin(z)dz

A: Given: ∫9xsinxdx

Q: Evaluate the integral using tabular integration by parts. 7 x° V2 x + 1 dx 36 (2i al + 9 =') +cX

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Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) -2x…

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Q: Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.) yV 6 +…

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Q: Evaluate the integral by reversing the order of integration. 16 dy dx y³ + 1

A: From the given problem, it is observed that the region of integration is x,y: x≤y≤4; 0≤x≤16. Draw…

Q: Evaluate the double integral ∫0 to 1 ∫√y to 1 SQRT(2 + x^3) dxdy by reversing the order of…

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Q: Evaluate the integrals in Exercises using integration by parts

A: We know that, Integration by Parts is a special method of integration that is often useful when two…

Q: Evaluate the integral. (Use C for the constant of integration.) tan3(x) sec (x) dx

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Q: Evaluate the integral. (Use C for the constant of integration.) 10e-0.7x dx

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Q: Evaluate the integral by reversing the order of integration. 1 r1 = | Vū sin y dydar. I = x2

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Q: Consider the integral sin(5z) d: Applying the integration by parts technique, let and du x dz Then…

A: The by parts formula of integration is ∫udv=uv-∫vdu.

Q: Evaluate the double integral by reversing the order of integration 37 sin(ræ*) dædy

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Q: 1. Sx tan?x dx

A: topic - integration by parts

Q: Evaluate the integral -4-2 8x Cos y dy dr y – 4 by reversing the order of integration.

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Q: Consider the integral sin-(5x) dx: Applying the integration by parts technique, let U = and dv dx…

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Q: Find the integration by applying (by part method) f Sin-¹y dy

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Q: Evaluate the integral. (Use C for the constant of integration.) 4 tan(x) sec (x) dx

A: Given the integral, ∫4tan(x)sec3(x) dx = I(Say) Now, I=∫4tan(x)Sec(x)sec2(x) dx.........(1)  Now…

Q: V3 2 dy 1- у?

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Q: Use Romberg integration to compute Rg,3 for the following integral x sin x dx

A: Given integral is, ∫01xsinx dx Then we can write as, h1=b-a=1-0=1h2=b-a2=12h3=b-a4=14

Q: ST cos(x²) dxdy Jo

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Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration. -6x…

A: We have to evaluate ∫e-6xdx ,   by substituting u=-6xWe have to evaluate ∫dt1-7t6 ,   by…

Q: First make a substitution and then use integration by parts to evaluate the integral. ecos t sin 2t…

A: The definite integral to be solved is  ∫0πecostsin2tdt

Q: Evaluate the integral. (Use C for the constant of integration.) 4 sin Vx xp

A: To evaluate the given integral.

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

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

Q: Make a substitution to express the integrand as a rational function and then evaluate the integral.…

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Q: Evaluate the integral r4-x2 8x cos y dy dx r2 y – 4 by reversing the order of integration.

A: Evaluating the g8iven integral directly is not easy. So if we change the order of integration from…

Q: Evaluate the integral. (Use C for the constant of integration.) | 3 tan?(x) dx

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Q: Evaluate the integral by first reversing the order of integration. NOTE: Enter the exact answer. c2…

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Q: please answer the question and show all of your work

A: Given integral is

Q: Evaluate the integral. (Use C for the constant of integration.) sin (x) cos (x) dx 4.

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Q: A/2 x+! I Į sin x dy dx -1 0 96.

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Q: Evaluate the integral. (Use C for the constant of integration.) 2 tan3(x) sec(x) dx

A: Let sec(x)=t sec(x)tan(x)dx=dt tan2(x)=sec2(x)-1 Substituting we get 2 int (t2-1)dt =2 (t3-t)+C…

Q: First make a substitution and then use integration by parts to evaluate the integral. ecos(t)…

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Q: XP √ ₁ (1+²√2hr, (-1<p<3). dx, (1+x²)²` 0

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Q: Evaluate the integral by using u-substitution and changing the limits of integration. 3x dx J, ex++1

A: ∫-103xex4+1dx Let say, u=x4 Therefore, du=4.x3.dx  ⇒ x.dx=du4x2=du4u. x=-1 ⇒u=1x=0⇒u=0 Therefore,…

Q: sin(e" – y) dy dx - In x

A: We have to find integral given in question.

Q: Use integration by parts to evaluate the integral: 8r sin(r)dr

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Q: Use the specifie substitution to find or evaluate the Integral. (Use C for the constant of…

A: To solve the integration uisng substitution method

Q: Evaluate the integral using tabular integration by parts. 2 x³ /2 x+1 dx +C

A: Recall the tabular integration by parts

Q: Evaluate the integral. (Use C for the constant of integration. 27t sec2(t2) tanª(t²) dt

A: The given integral,∫27t sec2t2 tan2t2 dt

Q: Evaluate the integral. (Use C for the constant of integration.) 13 dx xV 9x2 - 1

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Q: evaluate the integral using substitution method sin√w/√w dw

A: The given integral beI. I=∫sinwwdw. The most important step is to convert  variable such that the…

Q: sin't caso de V1 + sin A

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Q: Consider the integral sin-'(5x) dæ: Applying the integration by parts technique, let U = and dv dx…

A: Integration by parts is expressed as If I=∫f(x)⋅g(x)dxThen I=f(x)∫g(x)dx  - ∫ddxf(x)⋅∫g(x)dxdx Here,…

Q: Use integration by parts to evaluate the integral: for 9t sin(t)dt

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