dæ (xº + 2)² The integral is divergent.

Q: The improper integral A) 0 B 1 C D e +∞o Sto 0 8 ex dx is

A: On solving this we will get

Q: Evaluate the iterated integral. (x + y) dx dy -1.

A: A detailed solution is given below.

Q: Evaluate the iterated integral. NOTE: Enter the exact answer. x dz dy dx -6+x²+y?

A:

Q: Evaluate the iterated integral. 8. '1 (x + y + z) dx dz dy

A: When integrating with respect to one variable , take other variable as a constant.

Q: The improper integral A e B C) O D 1 if the 0 ∞ ex dx is

A: Solve the integration  From 0 to ♾️ for the integrand e-x.

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 iterated integral.

A: Evaluate: ∫-10∫-11 x+y+1 dx dy

Q: 17 dx x2 Evaluate the improper integral: а) О-17 b) Odiverges c) O17 d) 034 e) Ov17

A: Given,

Q: Evaluate the iterated integral. ITT*³. /0 10 6ze-x6 dy dx dz

A: Integrate usually but first with respect to y then x then z.

Q: Evaluate the iterated integral -6x-x² xy dy dx, (x² + y?)3/2

A: Given: Now let us calculate the given iterated integral by using polar coordinates,…

Q: Evaluate the triple iterated integral. 2 xyz dx dy dz -1

A: We have to solve the triple integral.

Q: Calculate the double integral. 3xy? dA, R = -{(x, m10 sx 5 3,-25 ys 2} -2 s ys2} .2 + 1

A:

Q: Calculate the double integral where R = [1,2] × [-1,1]: R xeᎩ dᎪ

A: Sol:- It can be re-written as :- ∫12∫-11xeydydx......................(1)First siolve this…

Q: 1. Evaluate the improper integral or show that it diverges. (a)/ e* dx 8. (b) / dx (c) d.r (d) /…

A: If the limit exists and is a finite number , we say that the improper integral converges .If the…

Q: evaluate the iterated integral.

A: ∫03∫-20x2y-2xy dy dx=∫03∫-20yx2-2x dy dx=∫03x2-2x dx∫-20y dy

Q: Evaluate the iterated integral. (x² – y²) dy dx -1J-4

A:

Q: Evaluate the triple iterated integral. ..* 2 Xyz' dx dy dz -1

A:

Q: 00 1 (b) Calculate the improper integral dx , or show that it (x² + 25)3/2 -00 diverges . Show your…

A:

Q: 2x f²f²² (x² + 2y³) dy dx. Write the iterated integral in the previous item using the order dx dy.

A:

Q: Evaluate the iterated integral. 8 3 (x + y²) dx dy -1/1

A:

Q: Evaluate the iterated integral. (2 +y² +z) dx dy dz -200 2 3 4 +y? +? )dx dy dz = i

A:

Q: Evaluate the iterated integral. (x² – y²) dy dx -1J-2

A:

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

A:

Q: ne following integral 2dr J r (3(ln r)2 + 12 In z- 15)

A:

Q: B)Evaluate the integrals: i) S ii) f/2/2 x 2² siny dz dy dx. rdrde,

A:

Q: Evaluate the double integral (1+ r² + y?)² dy dx

A:

Q: Evaluate the iterated integral. 7 8 !! //(? + y² + z²) dx dy dz -6 0 0

A:

Q: evaluate the iterated integral.

A:

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

A:

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

A:

Q: Question 12 > x8 dx (29 + 7)? The integral is divergent.

A:

Q: Evaluate the iterated integral. ||| x*y² + z² dx dy dz 0.

A:

Q: Evaluate the iterated integral. [²] (x² - y²) dy dx

A: Given: I=∫-11∫-44x2-y2dydx   As we know that; The Power rule; ∫xndx=xn+1n+1+C

Q: Calculate the iterated integral. '3 1. 7xy x2 + y2 dy dx + y2.

A: Given integration, I=∫03∫017xyx2+y2dy dx Use formulas, ∫xndx=xn+1n+1∫cfxdx=c∫fxdx   c is…

Q: Evaluate the iterated integral. 1 2r y 8ry: dz dy dx

A:

Q: Evaluate the integral 1. ( (y - 1)(2y + 1) dy

A:

Q: 11-y² x 26)A) Convert the integral J Jax?+ y²)dzdxdy to an equivalent integral in -1 0 0

A:

Q: Evaluate the iterated integral. (x2 - 8y2) dx dy

A:

Q: Evaluate the improper iterated integral. 9. x2 dy dx 1 + y?

A:

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

A:

Q: Evaluate the iterated integral. r2y (8 + 11x2 + 7y²) dx dy ly

A: From the given problem: I=∫02∫y2y8+11x2+7y2dxdy=∫028x+11x33+7y2xy2ydy

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

A:

Q: Evaluate the iterated integral. (x² – y²) dy dx J-4

A: Given the double integrationI=∫−11∫−44(x2−y2)dydx

Q: Evaluate the iterated integral. 16 - y2 4 (x + y) dx dy

A:

Q: Evaluate the iterated integral. V 4 - y2 (x + y) dx dy

A: