Find the product of the integral 1- LL,x? e*ydxdy

Q: Evaluate the integral ∫1/ √tcos (√t+3)dt

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Q: r In(z² + 1) dar x² + 1

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Q: Calculate the following integral: f+ + +∞ е-6x²-6xy-6y²-8yz–6z² dxdydz

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Q: Evaluate the integral. w2 In(w) dw

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Q: +9 =zxe %3D

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Q: Evaluate the integral. х3 - 2х - 10 Jo dx

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Q: Evaluate the integral. + 5v7 dv

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Q: Evaluate the integral. xp S

A: Given,  ∫ x4x5+4dx

Q: Calculate the integral ∞∫1dxx2−6x+13.

A: Given : In the question first find the indefinite integration of f(x), then evaluate .

Q: Compute the integral based on 2where g is the cloed cuve 2.

A: In this question, we find the value of complex integral    I=∫γ z-2dz For the given contour.

Q: Evaluate the integral. a) farctan 4t dt b)

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Q: Evaluate the integral. In(9 x - 8) dx =| +C %3D

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Q: 12sin3xcos7x dx

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Q: In Exercise, evaluate the given integral.∫5e-2xdx.

A: The given integral ∫5e-2xdx

Q: Evaluate the integral. 7t dt 1 + t2' 1 + t2

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Q: Evaluate the integral. w2 In(w) dw 1.

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Q: 2 dt 4+ t²

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Q: Evaluate the integral 3 -x a. So Sox² exy dydx 0

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Q: Evaluate the integral.

A: Let the given intergral be y -y = ∫01r34+r2dry = ∫01r24+r2 r drLet,x = r2Diffrentiating with respect…

Q: Evaluate the integral using the given substitution. u=8x + 10 /8x+10 A. +C 3/2 8(8x+10)* O B.…

A: Simply integrate

Q: Evaluate the integral. 4 + u² du u3

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Q: Find the integral 1 dt 4t2 + 4t + 5

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Q: Evaluate the integral. 13r In(r) dr

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Q: Find the integral. e2xx2dx

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Q: 3 x²e™Ydydx 0 0

A: Firstly we integrate with respect to y ,   And substitute u = xy du = x dy

Q: Evaluate the integral. | In(9 x – 8) da +C

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Q: Evaluate the integral (3x +y)dA {(x,y)|-2sy53, y -35xsy+3}.

A: It is asked to evaluate the integral, the region D is defined as, D = {(x,y) | -2 ≤ y ≤ 3,  y2-3 ≤…

Q: 1.4. V9* + 25 de

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Q: find the product of the integral 1- ' pln(7) xy eyx dydx

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Q: Evaluate the integral of 3dx/(2x^2 + 4) from 0 to 0.2 * O 0.412 O 0.211 O 0.189 O 0.316

A: Evaluate definite Integral

Q: Evaluate the integral of ſ, x³ln xdx

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Q: Evaluate the integral.   ∫13 r3 In r dr

A: The integral given is ∫13r3lnr dr. Solve the integral by integration b parts, ∫ fx gx dx= fx∫  gx dx…

Q: Evaluate the integral. 4,3 - 32+ 4 른t) dt

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Q: Use the substitution technique to determine the following integrals:

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Q: Evaluate the integral. 8 V1-t2

A: We have to evaluate the integral: ∫02281-t2dt We know the formula of integral, ∫1a2-x2dx=sin-1xa+c…

Q: Evaluate the integral 49 by making the substitution u = x* – 2. + C

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Q: Compute the given integral. dr 16x2 + 1 +C

A: Here is the solution:

Q: Evaluate the integral. 6x * de +C 17e -

A: The value of the given integral is 18x1/3 - 17ex + C

Q: Use substitution to evaluate the integral. (1) [3x x° 3x²Va +1dx

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Q: Evaluate the integral: a/100 – a* ,3 -

A: We have to evaluate the integral ∫x3100-x2dx.We shall solve this by substitution method. Let…

Q: Evaluate the integral: 10 dt

A: ∫103t dt

Q: Evaluate the integral of cos^2 ydy

A: Integration is summation of discrete data. The integral is calculated for the functions to find…

Q: Evaluate the integral. 25 In y 16

A: Given that: ∫1625lnyydy

Q: Evaluate the integral by making the given substitution.

A: The integral given in the question is: u-substitution is: u = 1-6t Taking derivative  du = 0-6dt =…

Q: Evaluate the integral. '5 (In(x))² xp x3

A: Given integral

Q: Evaluate the integral. (Re du |u3- u?

A: Solution is written in below steps.

Q: Evaluate the integral. s'a In óx dx 219.01 190.21 187.01 O -61.21

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Q: Calculate the integral ∞∫0dxx2+16.

A: These are called improper integrals so in this case,…

Q: the integral of dzwhere e is and 9-x S

A: by using Residue theorem we can solve the given complex integral

Q: Evaluate the Integral Sec² √r √x dr Njw SYD

A: Given: ∫1832sec2xxdx To find evaluate the given integral.