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

Q: Evaluate the iterated integral " SL* x² sin y dy dz dx .

A:

Q: Evaluate the iterated integral. 3y 6xy dz dx dy

A: From the given problem:   I=∫01∫y3y∫0x+y6xydzdxdy ...(1)   To solve for:   ∫0x+y…

Q: Evaluate the iterated integral: xy'e-" dx dy

A: Here we evaluate the iterated integral

Q: Evaluate the iterated integral. 1/4 y cos(x) dy dx

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

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Q: Evaluate the integral.  integral  t 2 sin 2  t dt

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Q: evaluate the iterated integral.

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Q: Evaluate iterated integral.

A: Let the given integral be I - I = ∫39∫57 xy+y5dx dy  Let's first integrate with respect to x (we…

Q: Evaluate the triple integral S" S, sin y² dz dy dx.

A: We need to find the triple integral ∫03∫0π∫0ysiny2dzdydx. So,…

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

A: We have to solve the triple integral.

Q: /2 sin(z + y) dy dz

A: Let,      I=∫0π2∫0π2sin(x+y)dydx

Q: Evaluate the iterated integral: 24xyz? dx dy dz

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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

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

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Q: Evaluate the iterated integral. 4 9. dx dy

A: We need to evaluate the following integral ∫14∫0612x5ydxdy

Q: evaluate the iterated integral

A: Iterated integral is integral over several variables such that only one variable is integrated over…

Q: Evaluate the iterated integral. /8 3/y sin y dz dx dy Jo

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Q: Calculate the double integral. 9x sin(k + y) dA, R = 0, 풍핑x [o, 플]

A: First we will evaluate the inner integral wrt 'y' and then evaluate wrt 'x'.

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. /2 x. 4 cos (x + y + z) dz dx dy

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Q: Evaluate the iterated integral.

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

Q: evaluate the triple iterated integral.

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Q: Calculate the iterated integral. '2 3 1I (8x3 - 18xy²) dy dx

A: To evaluate the below iterated integral To evaluate the iterated integral follow the below steps…

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

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Q: Evaluate the iterated integral. Tt/4 y cos(x) dy dx

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Q: Evaluate iterated integral.

A: Integration is the process of finding the anti-derivative function of a given function. The…

Q: Evaluate the iterated integral. [²1²₂(x² - y²) dy d dx

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Q: Evaluate the iterated integral. dx dy

A: Given query is to find the indicated integral.

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

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Q: evaluate the iterated integral.

A: Given, ∫-12∫0π2ysinxdx dy Now integrate above with respect to the x we get, ∫-12∫0π2ysinxdx…

Q: Evaluate the iterated integral. 5 cos(r + y +:) dz dx dy

A: We know that integration of sinx is -cosx + c  and integration of cosx is sinx + c.       Here i…

Q: п/2 (siny 1. dxdy 1-х2

A: We have to solve the integration

Q: Evaluate the iterated integral. 2ye-* dy dx 12

A: Given that, ∫25∫1x2ye-xdydx we have to find the value of this integral.

Q: Calculate the double integral. 9x sin(x + y) dA, R = 9v 3

A:

Q: Evaluate the integral. * T/2 sin³x cos y dx

A: Using identity         Sin2x+cos2x=1

Q: Evaluate the iterated integral. TT- 9x 3x2 sin(y) dy dz dx

A: The objective is to evaluate the iterated integral.

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. (8x – 2y) dy dx

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Q: Evaluate the iterated integral. /2 x sin(y) dy dx

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Q: /2 TT Sin (x ty) dy dx 0

A: Consider ∫0π2∫0π2sin(x+y)dydx = ∫0π2∫0π2sin(x)cos(y)+cos(x)sin(y)dy dx =…

Q: Evaluate the triple integral 5 z sin x dy dx dz 3.

A: Given:

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

A: The solution is given as

Q: Evaluate the iterated integral. /3 6. y cos(x) dy dx

A: I=∫0π3∫09y cos x dy dx =∫0π3cos(x) ∫09y dy dx  =∫0π3 cos(x) y2209 dx  =∫0π3 cos(x)812 dx

Q: Evaluate the iterated integral. 6. I (8x - 2y) dy dx | 1

A: Given: ∫19∫0x8x-2ydydx

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

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

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

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