,3 Evaluate the iterated integral dx dy

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 iterated integral 1-х* dx dy. yl/3

A: The given iterated integral is ∫01∫y1311-x4dxdy. From the limits of integration, we have 0≤y≤1 and…

Q: Evaluate the triple iterated integral. 2/2 xyz dx dy dz 0/ -1

A:

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

A: The solution is given in the next step.

Q: 2z •In a 5. xe¯Y dy dx dz

A: Given, ∫12∫02z∫0ln x xe-y dy dx dz

Q: Evaluate the iterated integral. 2 1T 2 - 2y3) dx dy

A:

Q: Evaluate the iterated integral. 1. 7zeX dy dx dz - 0/

A: According to limit, first we integrate with respect to y then put x7 = t then solve it.

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.

A:

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

A: We have to solve the triple integral.

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

A:

Q: Evaluate the iterated integral. * 2y (6 + 8x2 + 6y²) dx dy

A: A scalar function f(x,y) is a rule that is used to associate a number or quantity with a particular…

Q: evaluate the iterated integral.

A: We have to integrate ∫01∫12xyexdydx. As limit is constants in both cases then we can first integrate…

Q: Calculate the iterated integral. 2 (6 7e* + 3y dx dy

A: From the given problem: I=∫02∫067ex+3ydxdy So, we can also write as: I=∫02∫067ex·e3ydxdy

Q: Evaluate the iterated integral. 4 (x² – 2y²) dx dy %3D

A: We need to evaluate the following integral ∫12∫04x2-2y2dx dy

Q: Evaluate the iterated integral. dx dy dy = (Type an integer or a simplified fraction.)

A: To evaluate:∫17∫0414x3ydxdy

Q: Evaluate the iterated integral 1 ·1 dy dx (xy + 1)2

A:

Q: Evaluate the iterated integral.

A: The given integral is ∫01∫0y6x+5y3dxdy

Q: Evaluate double integral.

A: Let the given equation is ₀∫⁴₀∫⁴x  (√(xy)) /2  dxdy The double integral formula is a ∫b c∫d f(x,y)…

Q: Evaluate the iterated integral. x³y dy dx 15

A:

Q: Evaluate the donble integral dy dx

A:

Q: Calculate the iterated integral. 12 2ex + 3y dx dy

A: Consider the inner integral, name it as I1 Take the constant 2 out of the integral sign.

Q: Evaluate the double integral. y dy dx

A:

Q: Evaluate the iterated integral. dx dy

A: Given query is to find the indicated integral.

Q: Evaluate the iterated integral. dy dx -3 9 7 dy dx i -3

A: Double integration

Q: Calculate the iterated integral x² ,3 sin x dy dx.

A:

Q: Evaluate the iterated integral. 3ze dy dx dz 1

A: We have to find the value from the given condition

Q: Evaluate the iterated integral. (3x - 2y) dy dx 1 Jo

A:

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

A: Evaluate the double integral

Q: Calculate the iterated integral.

A: To calculate the iterated integral ∫05∫142xy4+3dydx

Q: Evaluate the iterated integral Vy exp dx dy 0.

A: ∫14∫0y exydx dy = ∫14yexy0y dy                                       = ∫14ye - 1 dy…

Q: Evaluate the iterated integral. π/4 ** ['y cos(x) dy dx

A: Please see the below picture for detailed solution.

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: Evaluate the iterated integral.

A: Given: ∫14∫1x2ye-x dy dx

Q: Evaluate the iterated integral. '8. 1. 4zel dy dx dz

A:

Q: Evaluate the iterated integral. 4xy² dx dy

A: Here given

Q: Evaluate the iterated integral. 6xy2 dx dy

A: We have to evaluate the iterated integral

Q: 4 dx dy y. exp 1 0,

A:

Q: Evaluate the iterated integral. 5 dy dx dy dx i

A:

Q: Evaluate the double integral dy dx 31x

A:

Q: Evaluate the double integral: cos(y') Vy3 dy dx.

A: The solution is given as

Q: Evaluate the integral. In 2 ey dx dy

A: Explanation of the answer is as follows

Q: Evaluate the iterated integral. '5 2ye-* dy dx

A: We have to evaluate given iterated integral.

Q: Evaluate the iterated integral. 4y 18xy dz dx dy

A: The integral is ∫01∫y4y∫0x+y18xydzdxdy.

Q: Evaluate the given double integral 1 dx dy

A: the given integral is  I= ∫-11∫-121dxdy

Q: Evaluate the iterated integral. 5 (бх — 10y) dy dx -1 5 (бх — 10у) dy dx%3 i

A:

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

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

Q: b) Evaluate the triple integral S dx dy dz re3 1 xyz

A: