6) Evaluate the following integrals 4 6)dx J(a*W 3x3-4 dx

Q: Evaluate the double integral. LL. 3 (x² – xy2) dy dx -3

A: first, we integrate with respect to y

Q: 7x2 V2x3 - 1 dx .2.

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

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Q: Evaluate the triple iterated integral. xyz³ dx dy dz

A: ∫02∫02∫-14xyz3dxdydz=∫02∫02x2yz32x=-1x=4dydz…

Q: Evaluate the double integral of cos(x) with x from 0 to π/4 and y from 4y to π

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Q: Use a suitable method to evaluate the following integral. х5 — х4 — Зх + 5 | dx x4 – 2x3 + 2x² – 2x…

A: Here I am attaching image so that you understand each and every step.

Q: 14 Find the integrals using integration by parts. b. JF In /rdx In a. fx(x + 4)°dx c. fr'e"dx d.…

A: Just multiply by 1and go ahead.

Q: х cos 4x dx; и 3D х, dv cos 4x dx =

A: Given that  u = x ;  dv = cos 4x dx and we have to integrate by parts the given integral that is ∫x…

Q: Evaluate the integral. 9. dx J2 (x² - 1 1)3/2 Additional Materials Type here to search

A:

Q: Evaluate the given integral 2x +3 -dx- (x + 1) (x – 1)²

A: Integration formulas help to integrate the given fuction. Simplification of the function helps to…

Q: 2.) Evaluate the def inite integral dx o x²+4

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Q: 3. Evaluate the following improper integral; -2 2 dx x² – 1

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Q: Evaluate the derinite Integral. #5 In(x) dx

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Q: 2. Evaluate the following double integral by first reversing the order of integration. (6x-y) dx dy.

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Q: Q5. Evaluate the improper integral dx x(Inx)7

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Q: Find the integral. J 3 x√9 - (In x)² + C dx

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Q: 19. Evaluate the integral Z √(x^2 − 9) / x^3 dx

A: firstly divide the numerator by denominator part by part to simplify the integration

Q: Evaluate the iterated double integral √1-x² _L [ ³²-x² sin (x² + y²) dz dy dx

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Q: Evaluate the integral: S/2 sin(4t - u) du dt

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Q: Consider the following two improper integrals: (1) 1 dx г — 5 -1.7 dx (2) (x –

A:

Q: 2. Compute the integral dy dx by interchanging the order of integration.

A: Order of change of integrals

Q: Evaluate the integral dx (8x + 3)3 by making the appropriate substitution: u = 8х + 3 dx (8x + 3)3…

A: Recall:    ∫un du=un+1n+1+c ; where c is an integration constant.

Q: Find the complete integral of 1 az z dx, 1 dz z dxz 1 dz =x1 x2 X3. z dxz

A:

Q: please explain how to do question 7c

A: The given integral is ∫(1-3x)4dx.

Q: Evaluate the iterated integral. 4 1 (3x – 5y) dy dx -1

A: We need to evaluate the value of the following iterated integral ∫14∫-113x-5ydydx

Q: 4. Calculate the following integrals: 4 3 dx 1 – x2 dz 25z2 + 1

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Q: A. Evaluate the following integrals. 1s (*2* -) x, 2х — 3' dx + 1. S x+2

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Q: Identify which among the numbers are odd-numbered integrals. 1. S21 cos 7x dx 2. S csc* dx 14. S dy…

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Q: 3. Evaluate the integrals. dx ( Use u = Vx(1+x)

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Q: 14 Find the integrals using integration by parts. -2 b. JVF In Vxdx a.

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Q: 15 Evaluate the improper integral J. (x- dx

A: Note: We are authorized to answer one question at a time, since you have not mentioned which…

Q: Evaluate the triple iterated integral. 2 2 2 xyz dx dy dz of Jo

A: Given that ∫02∫02∫-12xyz5 dxdydz

Q: 1. Compute the indefinite integrals: A. [4x+ Vx dx 3x+xdx В. B. S*dx

A: Question is solved.

Q: 1. Evaluate the integral using Integration by Parts. (a). S In(Inx) dx.

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: 4. Determine the following integrals 4.2 - dx - a x

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Q: Evaluate the iterated integral. 5 6 7 ||| ? +y² + 2) dx dy dz -5 0 0 5 6 7 | || (1²+y² +²)dx dy dz =…

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Q: 1 uate the improper integral dx. x(In x)3

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Q: Evaluate the Cauchy principal value of the given improper integral. 1 [ (x² + 4)² dx

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Q: Solve the problem. Rewrite the integral 5(1 - z/6) 2(1- y/5 - z/6) dx dy dz in the order dz dy dx.

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Q: 4. Determine the following indefinite integrals: a) S(2x* + 3x³3 – 7x² + x – 5) dx b) S(x – 5)² dx •…

A: 4. Power rule of integration states that: ∫xndx=xn+1n+1 (a)To evaluate the integral:…

Q: Compute the given improper integral. Enter the exact value of the answ 13 1 dx x² – 25

A: Here we have to find the exact value of ∫5131x2-25dx=?

Q: /2 etan y sec y х cos" ydxdy

A:

Q: 9. Evaluate the integrals. dx dx b. Siya Jã(1+x) 1/3

A: The integral function is ∫131dxx1+x

Q: 9. In evaluating the improper integral dx , which of the following is true? (1-3x)2

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Q: II. Evaluate the following integrals: x- 2 1. J- -dx +1 2. J; -dx 8х + 3 3. J- x -4x-9

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Q: 2 Evaluate the iterated integrals. 2 (x + 3) dy dx 0, 6. y sin x dy dx

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Q: Find the integral. 5x* dx (5+x*)* 1 O A. 3(5+x)3 OA. 1 О в. В. +C 5(5+x*)5 Oc. (5+x)°. +C

A: