Evaluate the integral using tabular integration by parts. 5 x° V /2 x + 1 dx +C

Q: Evaluate the integral sin(x? + y')dA where Ris the region 9 < x² + y? < 64. R

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Q: Q2. Use Integration by parts to evaluate the following integrals Sear cosbx dx

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Q: 14 Find the integrals using integration by parts. a. fx(x + 4)°dx c. fr'e"dr

A: As per our guidelines I am solving only first three parts of the question please resubmit the other…

Q: Q6 // Using the Simpson's rule for multiple integrals, evaluate the following integral; I Vx + y) dx…

A: The given integral is:

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

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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: (c) Use integration by parts to evaluate the following integrals: √ 2 2 e 3x sin2x. dx

A: We have to evaluate the integral,   ∫012e3xsin2x dx  by using integration by parts.

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 by making the given substitution. (Use C for the constant of integration.) 1 9…

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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. x sec? (7x) dx + C

A: We have to find integral.

Q: х? +2 dx x +1

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Q: Evaluate the integral and interpret it as the area of a region. T/2 14 sin(x) – 4 cos(2x)| dx

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Q: Which is NOT included in evaluating the integral? 2 + Vx) dx а. dx

A: The answer of the following questions is given below...

Q: Q3- Sketch the region of integration and evaluate the integral: In8 lny [TD [t ex+y dxdy

A: Given problem:-

Q: Evaluate the integral.

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Q: Write a definite integral that represents the area of the region Y, = x² • 2x + 4 Y2 = 2x + 29 30 Y…

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Q: Evaluate the integral ? e1/x dx x2

A: we have to integrate by using substitute method

Q: Evaluate f 8e7x+e7= da

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Q: V{hich one of the following integrals represents the area enclosed by y = 6x + 7 and y = x² between…

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Q: Stan(3x)dx 6.

A: We can find the integration using by parts as below

Q: y'e* P.

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

A: Given  Y = Xe7x And we can solve above by integration by parts  Please find detailed solution in…

Q: Question * Using integration by parts and taking a > 0, the integral S, x In(ax)dx is equal to:

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Q: b) Applying the concept of integration, find the total area between the x-axis and the curve: y =r -…

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

A: The Simpson's rule is given by the formula ∫abfxdx ≈Δ x3fx0+4fx1+2fx2+4fx3+…+4fxn-2+fxn-1. Here, a…

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 and interpret it as the area of a region. •T/2 14 sin(x) – 4 cos(2x)| dx

A: Given that integral ∫0π24sin(x)-4cos(2x)dx First, we have to split integral because,…

Q: Evaluate the integral.

A: ∫x24-x232dx Put, x=2sinθ⇒1=2cosθ·dθdx⇒dx=2cosθ·dθ

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: y. x= y? – 2 y = 1 x= e" y =-1

A: Given the graph of a region

Q: Q1 (a) Interchange the order and evaluate the integration, SL xy' dx dy. (b) By using double…

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Q: Find or evaluate the integral by completing the square. (Use C for the constant of integration.) dx…

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Q: 4ln? (x) dx

A: I have stated the used formulas in the solution

Q: x? dx (x² – 25)5/2

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

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Q: Set up an integral to find the area between the curves y = 2? +1 and y = -2? + 2x + 13. Do not…

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Q: Use a double integral to find the area of the shaded region. 51n T/2 10 r = 5 + 5 cos 0 -5 5 10

A: We need to find area of the shaded region.

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

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Q: Q: Find the area of the following by using integral for x-axis SI Y dx where y = (ea+ e a) and x, =…

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Q: Evaluate the integral and interpret it as the area of a region. T/2 |4 sin(x) – 4 cos(2x)| dx

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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. (Use C for the constant of integration.) cos (a) da J Vsin(a)

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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…

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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 by making the given substitution. (Use C for the constant of integration.…

A: Given that: ∫x4x5-2dx       , u=x5-2

Q: Vx? – 1 dx 4

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