, (xy + 2)dV, 27. Calculate where B = {0 < x < 2, 0

Q: Evaluate the iterated integral. LLL- 2 x³ y2 + z?dxdydz 0.

A:

Q: Evaluate the iterated integral. 4z (In(x) xe- dy dx dz J3

A: Formulae used∫e-ydy = -e-y + C∫x2dx    = x33 + C ---------------------------------------- I…

Q: Evaluate the integral. 6. Vy In(y) dy

A:

Q: Evaluate the improper iterated integral. x2 dy dx 1 + y?

A: The solution is given in the next step.

Q: Evaluate the iterated integral. dy dx dz z +1

A: Integrate as general

Q: (x + y) dx dy Jo Jy/2

A:

Q: Find the general integral and compute 3 diferent solutions for : xzx+(x+z)zy=y-x

A:

Q: x exp(-y²)dydx 0. 1

A: We have to solve given problem:

Q: In y dy dx 1 xy 20.

A:

Q: Calculate the iterated integral a) [ [ (6xy² – 2x) dy dæ

A: In this question we have to find Double Integration. First find in terms of y and then in terms of…

Q: where d! x*ry*< a² 2.

A: Change in polor coordinate.

Q: Evaluate the iterated integrals. 2 yz b. So So So xyz dx dy dz Jo 0 0

A:

Q: Evaluate the improper iterated integral. x2 dy dx 1 + y2

A: Given: I=∫03∫0∞ x21+y2dydx As we know that; ∫11+x2dx=tan-1x+C And ∫a·fxdx=a·∫fxdx, where a is…

Q: Evaluate the line integral (-3x+y)dx + (x + 3y)dy, where C lies along the x-axis from x = 0 to x = 6

A:

Q: evaluate the iterated integral.

A:

Q: Find the integral of ³y²-y+1 f dy y³-y²

A:

Q: Evaluate the triple iterated integral.

A: The given integral is ∫02∫01∫-12xyz3dxdydz.

Q: Evaluate the double integral: To L 0 y x7 +1 y¹/3 x7 dx dy.

A: The given integral is: I=∫08∫y132yx7+1dxdy   So, The limit of the x varies from y13 to 2. The limit…

Q: Evaluate the double integral. (2x + y) dA, D = {(x, y) | 1 <ys 2, y – 1 < x< 1}

A:

Q: Compute the double integral , xy³ dA where T is the triangle (-1,0), (0, 5), (1,0).

A:

Q: Evaluate the double integral. dA, D = {(x, y) | 0 < x < 9, 0sys Vx} ID x² + 1

A: The double integral is given by:

Q: 10 Why is J 5 Vx-5 11 =dx an improper integral?

A:

Q: 1 (x²+y*) dx dly -1 2

A: Consider ∫-11∫24(x2+y2) dx dy = ∫-11x33+xy224 dy = ∫-11643+4y2-83-2y2dy = ∫-11563+2y2dy =…

Q: Consider the integral 16–z² x? dz dy dx x²+y²

A:

Q: Evaluate the improper iterated integral. 1/x5 y dy dx

A:

Q: c9-x² f(x, y) dy dx as an iterated integral in the Express order dx dy.

A: ∫-33∫09-x2f(x,y)dy dx

Q: Evaluate the iterated integral. 21 V441-y у dx dy

A: NOTE: Refresh your page if you can't see any equations. . ..............(1)

Q: Evaluate the integral ez+1 dz a) 0 eZ+z

A: Given Data: Integrand: ∫01ez+1ez+zdz Let u=ez+z, The derivative of u with respect to z is,…

Q: Find the complete integral of 1 dz 1 dz 1 dz z dxz Ixe z z dx2 = x1 X2 X3.

A:

Q: Set up an iterated triple integral equal to √3-x² | = • S√³/3 SO √√3 x² + y² 3 2-₁/4-x²-y² 2y dz dy…

A:

Q: 15. Express c9-x² f(x, y)dy dx as an iterated integral in the or- der dx dy.

A: first, we will write an equation we have  y=0,y=9-x2x=-3,x=3 changing it w.r.t x we have…

Q: Evaluate the iterated integral of 2 2x . (x2 + 2y) dy dx

A: Evaluate the double integral

Q: S For x1/2 x−x³ dx and using the substitution u=x1/2, the resulting integral takes the form:

A:

Q: Evaluate the line integralſ (x + 2y) dx + x² dy, where C consists of line segments from (0,0) to (2,…

A:

Q: evaluate the iterated integral.

A: Given- ∫02∫-11x-ydydx To find- The value of the above integral.

Q: 2e^xdx-3e^ydy=0   What is y'? What is its integral?

A:

Q: Evaluate the iterated integral. SS 5x= dy dz dz = 0 0 0

A: Integration is evaluated by integrating first y then x then z.

Q: Calculate the double integral. Te 1+ xy бх dA, R = [0, 6] × [0, 1] 1 + xy

A:

Q: Evaluate the integral x2 ds where C is the portion of x2+y2=4 from (0,2) to (-2,0).

A: ANSWER:

Q: Substitute u = x + 2 into u10 - zu° +c to evaluate the given integral in terms of x. 10 x(x + 2)8 dx…

A:

Q: Evaluate the integrals 1 (x² + y² + z²) dz dy dx 0, 0,

A: The value of the integral is, 1. The detailed solution is as follows below:

Q: evaluate the iterated integral.

A:

Q: 2+ y²) dz dy

A:

Q: Calculate the iterated integral. (x + y)² dx dy

A: In the question we have to find integral of the given function.

Q: Evaluate the double integral. dA, D = {(x, y) |0Sx< 5,0 < ys Vx} x2 + 1

A:

Q: Calculate the integral, for y> 2. 'Y x² - 4x + 5 √₂ - (x² − 2x + 2) (x² − 1) dx,

A:

Q: b) Evaluate the iterated integral In z x e' dy dz dx 3 cx2 1 x,

A:

Q: Evaluate the iterated integral. 5 2 y dy dx 10 Vx+y 5 2

A: Given, I=∫15∫02 yx+y2dy dx To Evaluate I.

Q: Evaluate the iterated integral. In(x) xe Y dy dx dz 2z J3 Jo

A:

Q: Evaluate the iterated integral. 5x (x + y²) dy dx J4x

A: