Evaluate Cach integral. - 2x x? * dx e -st e dx, d) S. e e) * dx dx l020

Q: Calculate this integral a Sat-x? 3/2 x²+y²)¯ dy dx -a

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Q: Evaluate the iterated integral. 5 (x + 2)dy dx (х + 2)dy dx — i

A: topic - double integration

Q: 2z •In a 5. xe¯Y dy dx dz

A: Given, ∫12∫02z∫0ln x xe-y dy dx dz

Q: Write the integral S Li dz dy dx in the form dx dy dz. Do NOT evaluate the (2) integral.

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

A: Here we evaluate the iterated integral

Q: 2e" dx (e® – 1)2 1

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

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Q: Evaluate the iterated integral. 5 dy dx 8. dy dx = i

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

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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: et Evaluate the integral , -dx 3+ ez using the substitution u = 3+e². e* dx 3+ e* +C

A: Given that: ∫ex3+exdx

Q: Evaluate the improper integral. 6 dx V36 - x? O A. 12 O B. 1 12 О с. O C. O D. 1 KIN

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Q: Evaluate the iterated integral. (x + 5)dy dx 8 (x + 5)dy dx = i

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Q: Evaluate the iterated integral. 3 I (* + 5)dy dx 3 8 (x + 5)dy dx = i

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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 iterated integral. e² (1/xz In(z) dy dz dx

A: topic - triple integration  answer is ln(64) =6ln(2)

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

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

Q: Evaluate the iterated integral. 9. 2ye-X dy dx

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Q: (4- y? 2 dx dy /4 – y²

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Q: Evaluate the iterated integral. x³y dy dx 15

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

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Q: Evaluate the donble integral dy dx

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

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

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Q: Which of the following is not an improper integral? 1 dx cos x 1 dx cos x 2 cos x dr cos x dx

A: Explanation of the answer is as follows

Q: Evaluate the iterated integral. 5 (T/2 r cos e dr de dz

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

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

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. 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: Which of the following is an improper integral? -4 x² – x – 2 In3e COSX dx xe -2 In(x++ 1) dx -1 dx…

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Q: Evaluate the iterated integral. LIT4 dx dy dz -1J-1

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Q: Evaluate the iterated integral.

A: Given: ∫14∫1x2ye-x dy dx

Q: paluate the following integrals: 1. e ах cos bx dx [CBSE 2002]

A: Let I  =∫eaxcosbx dxUsing integral by parts formula and taking eax as first function, I =…

Q: Evaluate the integral: 1. Jcsc x (сos? х — 1)dx 2. S(sec2 x + csc² x) cos? x dx 3. S(wew² + w²ew³)…

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

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

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Q: Which of the following is not an improper integral? 1 dx cos x 2 cos x dx | cos x dx 0. 1 dx cos x 2…

A: Given, The definite integrals We have to find the integral which is not improper.

Q: Evaluate the integral fo S (y co W COS + 2) dydx.

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Q: Evaluate the Integral 3. TT T y Cos z dx dy dz

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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. '5 2ye-* dy dx

A: We have to evaluate given iterated integral.

Q: The improper integral A B if the 0 1 0 e dx is

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Q: evaluate the iterated integral.

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

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Q: The improper integral A) e (В (C) O (D) 1 8 Stoe ex dx is

A: We have to find the value of the integral

Q: Which of the following is not an improper integral? 1 dx cos x 0. cos x dx cos x dx 1 dx cos x

A: We have to check