Evaluate the integral using integration by parts. Jotxesc 3xda 81x csc 3x dx 1x csc 3x dx =-27x cot (3x) +27 In sin (3x) + C (Type an exact answer)

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. dx VTe(26/a)

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Q: Evaluate he integral isin (x+rJl dx

A: given integral, I=∫03π/2sin(x+π) dx we have to evaluate given integral

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Q: evaluate the integral using the Integration by Parts formula with the given choice of u and dv.

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Q: Use contour integration to compute the following integrals. (a) 1. 2π cos(20) dv 5+4 cos v

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

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Q: Evaluate the integral and interpret it as the area of a region. я/2 |8 sin(x) – 8 cos(2x)| dx

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Q: Use a double integral to find the area of the region. The region within both of the circles  r = 4…

A: Find the intersection of the given circles as follows.

Q: Evaluate the integrals ∫cot3 t csc4 t dt

A: Given that: The integral is ∫ cot 3 t . cosec 4t dt .

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Q: Evaluate the integral. xp- sin? 3x 15) -In |sin 3x|+ C B) - 1x cot 3x +1 In |sin 3x| + C 3 A)1x cot…

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Q: T/2 10 r = 8 cos 20 5 - 10 -5 5 10 -5 - 10

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Q: Evaluate the integral. integral xcos5x dx

A: The given integral is ∫x cos5x dx. Let u=x   and  dv=cos5x dx. This implies that du=dx  and…

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

A: In this question, we need to evaluate the integral by making a u-substitution and then integrating…

Q: Evaluate the integral by choosing a convenient order of integration: x cos(ry) cos (Tx) dA; R= x (0,…

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Q: Evaluate cach integral using TRIGONOMETRIC SUBSTI TUTION ONLY dx Jसक्ना x+1 2 dx 2メーメ

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Q: Use a double integral to find the area of the shaded region. 7/2 20 r= 9+9 cos e 10 - 10 -5 5 10 15…

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Q: Write the integral in terms of u and du. Then evaluate. | (3x – 1)° dx, u = 3x – 1 (Use symbolic…

A: Solved below

Q: Evaluate the integral: + 6 dx = %3D

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Q: Evaluate the integral using Integration by Parts. | 3y? sin 4y dy

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Q: Use the Table of Integrals to evaluate the integral. (Use C for the constant of integratio 30r 15e…

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Q: Evaluate the integral using integration by parts. x e 11x. *dx xp, e 11x dx = to

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Q: Evaluate the integral using integration by parts with theindicated choices of u and dv .   ∫θ Cos θ…

A: We have to solve the integral using integration by parts: ∫θ cos θ dθ taking u=θ, v=cos θ When two…

Q: evaluate the integral using the Integration by Parts formula with the given choice of u and dv.

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Q: x In(2 + x³) dx

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Q: Evaluate the indefinite integral by using the given substitution to reduce the integral to standard…

A: Given

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A: The given integral is- ∫x3x2+1dx Let x2+1=u Differentiate w.r.t. x to both sides- 2x=dudxdu2=xdx…

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

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Q: Evaluate the indefinite integral by using the given substitution to reduce the integral to standard…

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A: Explained below

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Q: Use a double integral to find the EXACT area enclosed by the graph of r = 3+3 cos 0. 8=1/2

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Q: 3(sin y- cos y) chy cos y

A: First we use (siny - cosy) 2 =sin2 y + cos2 y -2sinycosy Then using u substitution let u =sexy +…

Q: Use the form of the definition of the integral given in the theorem to evaluate the integral. (x? 4x…

A: We can find the solution

Q: Evaluate the integral (use the substitution) : 2x + 6 x2 + 6x + 13 dx а. In (x + 6x + 13) + C b. 1…

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Q: Evaluate the integral by reversing the order of integrati 2 r6 I 7e dx dy 3y

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Q: Use a double integral to find the area of one loop of the rose r = 2 cos(30).

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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: Consider the integral 3x² In(x) dr: Applying the integration by parts technique, and dv = let u = dr…

A: Integration.

Q: Evaluate the integral by making an appropriate change of variables. 7 Cos (3 (V=X)) d y + x 637 6…

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Q: Use a double integral to find the area of the shaded region. -3 -1 π/2 -3 r = 2 cos 20 3

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Q: x+y xydx dz dy Jo

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