1. DETAILS SCALCET9M 15.2.023.MI. Evaluate the double integral. 3x cos(y) dA, D is bounded by y = 0, y = x2, x = 9

Q: 4. Evaluate the iterated integral: CIE dyda.

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Q: Calculate the following integrals. 12. S (2x + 3) dx Sx²dx 13. 14. S x2Vx3 – 1dx -

A: We have to evaluate the integrals  12. ∫(2x+3)dx 13. ∫02x3dx 14. ∫x2x3-1dx

Q: S. V*(x+1) dx 13. Evaluate the integral: 16 A. 0 В. 1 C.- 5 D. 2

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Q: Consider: | Kysin x, cos(xy)>dr, C: r(t)= (t2, t), te[0,21] Which one of the following "regular"…

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Q: 1. [xds, where C is the curve y=x², z = 0 from (0, 0, 0) tom (1, 1,0)

A: 1.∫Cxds,where C is the curve y=x2,z=0 from (0,0,0) to (1,1,0)y=x2 from (0,0) to (1,1)Let…

Q: 6. Which of the following is NOT an improper integral? ∞e-3r A. · S -dx 5 2x 5² x²-4 O A OB O C OD…

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Q: 5. Find the integral in terms of w. dx Let x = w in the integral of 4dw 1+w wdw 1+w wdw) 4 1+w O 4 S…

A: In this question we have to find the integral in terms of w.

Q: 5.f 21 dv (v-1)(v+3)(v-4)

A: We can evaluate the given integral by using the partial fraction method.

Q: 1 Let D= {x.y)|0sxs2,xsys1. integral x'e"dA= The x2exYdA = // x² sin(y)dA where R = [-1, 1] × [-2,…

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Q: , (xy + 2)dV, 27. Calculate where B = {0 < x < 2, 0 <ys1, 1< z < 3} as an iterated integral in two…

A: Consider the following integral: ∫∫∫Bxy+zdVB=0≤x≤2, 0≤y≤1, 1≤z≤3 Consider the first way:…

Q: 11. Evaluate the integral sin(y*) dydx.

A: To solve this Intergration we have to use the concept of change of order of integration.

Q: 3. Evaluate the integrals. a. b. /4 5*1*4 (sec (1))² dt [²7/x dx baxax 8x dx

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Q: 0.6 1 Calculate the integral o da. 1+z"

A: Given,           ∫00.611+x2dx

Q: Evaluate F. dr using the Fundamental Theorem of Line Integrals. Use a computer algebra system to…

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Q: Evaluate the iterated integral I = 1+y ¹ (24y² + 2x) dxdy 1-y

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Q: Calculate the iterated integral o L? 5x cos y dydx

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Q: 3. Evaluate the integrals. dx ( Use u = Vx(1+x)

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Q: 2. Evaluate the given line integral, (-y,x – y) · dR, where C is the line segment from (1,0) to…

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Q: Question 13 The value of the line integral using Green's Theorem of 93xydx +5e2xdy on the rectangle…

A: Given that  The line integral is 3xydx+5e^(2x)dy  To evaluate the line integral

Q: Evaluate the double integral Jo J-y? dxdy

A: To evaluate: ∫02∫-4-y20dx dy

Q: θ3 cos(82) dθ VT/2 45.

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Q: . Apply Green's Theorem to evaluate the given integrals: a. 2x +y)dx + (2xy = 3y)dy where Cis any…

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