7:49 9. gla) S 5e*dx :? Ite 2x a excat type ONwser using Raditans as needed. -Thnk ru

Q: Evaluate the line integral -ydx + xdy along the curve C C : y? = 24x from (24, 24) to (0,0). NOTE:…

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Q: Use the substitution u = x + Vx +5 to evaluate the definite integral dx I = Va2 +5 Give an exact…

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Q: Evaluate the iterated integral. NOTE: Enter the exact answer. •1 dy dx -

A: We will solve the integration.

Q: Sketch the curve y cu. = x sq.   Use Formulas 3 and 4 to set up two integrals for thearc length from…

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Q: For the integral xe2x) dx what is u? Note: no space between symbols in your answer

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Q: I.Evaluate the ff. iterated integrals. rd/2 ptan y sec y 1. x'cos' ydxdy

A: Please see the answer below.

Q: x*dx , the simplified integral after substitution is: |x² – 4 Using trigonometric substitution…

A: To simplify the above integral we have to use trigonometric technique .

Q: х — 4 dx J. ? – 5x + 6

A: First  use partial fraction then use logarithms formula to evaluate

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

A: (a) Given integral ∫02πcos(2ϑ)dϑ5+4cosϑ. The objective is to compute the integral by using contour…

Q: Q3 Evaluate the integral fei sin e dz, where Cis a circle |z| = 1.

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Q: tan Vy dy

A: Integration by substitution: - Let F and g be differentiable functions, with g's range corresponding…

Q: pts) Evaluate the following contour integrals: (2² + 1) dz, C' is the curve connecting 1 to -i

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Q: Evaluate the improper iterated integral ro 1 So So (2² + y²) arctan(y/2)² +1' dy dx.

A: Given that: ∫0∞∫0x1x2+y2arctan(y/x)2+1dydx The objective is to evaluate the improper iterated…

Q: What is the ratio of the area under the curve with the x-axis of y = sin2x (from x = 0 to x =?/2) to…

A: area of curve

Q: Q1: By using double integrals in cartesian coordinates, find the area in the first quadrant that…

A: Area

Q: mai places Use a computer algebra system to approximate the iterated integral. (Round your answer to…

A: First of all we will integrate with respect to y then respect to x

Q: Which integral represents the length of the curve y = cos x between 0 and 7? V1+ cos? x dx, TV1+…

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Q: Use the substitution u =x +3 to evaluate the indefinite integral below. dx Write the integrand in…

A: Solve the integral by using substitution method

Q: Rewrite the improper integral as a proper integral using the given u-substitution. Then use the…

A: Consider the integral: ∫01sinxxdxLetu=xdu=2xdx∫01sinxxdx=∫01sinu2u2udu=∫012sinu2du

Q: Consider the integral arctan(x)dx where -Is a<bs . Making the substitution u=-2x , determine the…

A: Just I have used the given substitution and find that . Upper bound: u1=π/2 Lower bound: U2=-π/2 And…

Q: ÖRNEK : Ssin's sinº x cosx dx integralini hesaplayınız.

A:

Q: Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.) 15e30r…

A: Let, z=e15xdz=15e15xdxdx=dz15e15x Then we substitute it in the given integral…

Q: Evaluate the integral using integration by parts. Sox sec?2x dx Joxe 8x sec22x dx = (Type an exact…

A: Given:

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: Approximate the integral ſ* xln(x+1) dx by using: i. Trapezoidal rule ii. Simpson's 1/3 and 3/g…

A: Given integral is ∫e2e1x lnx+1dx  The trapezoidal rule states that…

Q: 3(sin y– cos y)°dy cos y

A: An integral is given as, ∫3siny-cosy2cosydy. The objective is to use u-substitution and correction…

Q: Consider the double integral ° S sin a dy dx. What conclusion can you make about the value of this…

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Q: LUOnsan For the given integral xcos (2x2+7) dx what is du? Note: no space between symbols in

A: In the above integral du is 4x dx.

Q: To find the arclength of y = 2x – 3 from = 0 to x = 4, which is the correct integral? OL = V1+ 4x²dx…

A: I have appended the formula used in the solution part.

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

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Q: To find the arclength of y = 4x? + 2 from æ = 0 to x = 4, which is the correct integral? OL = V1+…

A: Follow the steps.

Q: sec? e de. 1- tan e Evaluate the improper integral:

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Q: ASS R use the FOCE that aereriime for integ ers to which x,kE IN 7os 0 し +1 =z5 we

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Q: 2y-ya Evaluate the integral 12 + y?dzdydr by using cylindirical coordinates.

A: Let z = z , x = r cos(theta) , y = r sin(theta).

Q: | 2°+Idal Vx² +1 dxl

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

Q: Evaluate the integral cot2x dx J Tcot?x – 15

A: We will evaluate the given integral as shown below

Q: A/2 15 10 r=7+7 cos 0 -5 5 5 10 15 - 10 15

A: The graph of the curve is given by To evaluate: The area of the shaded region.

Q: |x?(cosx) dx ; п3D6

A:

Q: evaluate using trigonometric substitution. Refer to the table of trigonometric integrals as…

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Q: Q5/ change the cartesian integral in an equvalant polor integral then evalute 1 the polor integral…

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Q: AR is a regon griven by the integral 2q+2x AR Jaʻ+y dy dx + with q>0 Find the graphic vepresentatian…

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Q: 3. Approximate the integral using: (a) (b) 11 trapezoidal rule. Simpson's rule. 0.8 [8 dx

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Q: Q.3 Find the double integral for SI, x? dydx, where R between y = 1/x,y x and x = 2

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Q: Evaluate the double integral: L cos(") VF dy da. Hint: Change the order of integration to dxdy.

A: order of change of integrals

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 Table of Integrals on Reference Pages 6–10 toevaluate the integral. integral  tan 3  (  1/z)…

A: To integrate: ∫tan31zz2dz Let substitute t=1z Differentiating both sides, we get dtdz=-1z2-dt=1z2dz…

Q: 1 dy dx as an iterated integral. x°y Evaluate the improper integral

A: ∫8∞∫e-x11x3ydy dx=∫8∞1x3[ln y]e-x1dx = ∫8∞1x3[ln1 - lne-x]dx{ ln1 = 0 }, {ln e-x= -x.1}= ∫8∞1x3[0 -…

Q: Evaluate the following line integral along the curve C. X -ds, where C is the line segment from…

A: Explained below

Q: x³e* dx

A: