2z -dz l|z||=10 ПЕ-10 (2 — 1)(2+ 1)

Q: 2- Solve the following integral with details .2n 1 ³ē"l40 cos² e r² dr sin0d0 ø do = x 32na X = ?

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Q: To solve the following integral, you have to make a change of variable. Select from the items, the…

A: To find the value of the integration we use the change of variable. Offer change of variable we find…

Q: Express the integral in terms of the variable u, but do not evaluate it. So e15x-14 dx; u 15x - 14…

A: ∫01e15x-14dxLet u=15x-14.=∫-141eu115du=115·∫-141eudu=115eu-141=115e-1e14=e15-115e14

Q: I. Evaluate the following integrals by substitution. Show your complete solution 1. S (3x + 5)12dx…

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Q: Solve the following integral using the power rule and then solve for the value of C given F(3) = 5.…

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Q: 42x 4. Jx*e2" dx

A: To Evaluate:

Q: b) (x-1)3 1 dx = ?

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Q: B. Solve the following integrals. 2.) fevdxdy

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Q: Evaluate the following integrals. 1 dx x²Vx2 – 9 3

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Q: 1. (a) Without using a calculator, determine the following integrals: 8.x dr3; (1) 2+8r- 9 (1)/ (ii)…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: 2,31 dx

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Q: (D) What is the value of the original integral in terms of x? -30V z2 + 25 X + C 25z

A: Using substitution we have

Q: x/1 - x² dA; R = {(x, y) : 0 < x < 1, 2 < y < 3}

A: The double integral ∬Rfx, ydA is can be written as ∬Rfx, ydxdy. We have given the region R=x, y :…

Q: 2 3 3t dt - 3 -2

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Q: (b) Solve the following integrals by using substitution and exponential rule and verify the answers.…

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Q: 1 -dz I|z-5||=1 Z – 3

A: We will use Cauchy's Integral Theorem to evaluate the given conture integral.

Q: 1 e(m,-ma)P do 27

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Q: Solve the following indefinite integral. Show complete solutions. 1. S (9z² + 14z – 2) dz -

A: ∫(9z2+14z-2)dz

Q: dy 6. So 1+y+1 6.56

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Q: Express the integral in terms of the variable u, but do not evaluate it. e14x-13 dx; и — 14х — 13…

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Q: For the integral e4z – 10 dæ, if we use the substitution u = 4x – 10, what will be the new integral?…

A: We use substitution method

Q: Solve the following integrals with detailed steps: dx a. x²V4+x2 dx (4-x²)7 b.

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Q: 2- Solve the following integral with details 1 erlao cos? e r² dr sin@de ø do = x X = ? o 32ña

A: Given integral is  ∫02π∫0π∫0∞132πa05r3e-ra0cos2θ r2 dr sinθ dθ ϕ dϕ=x

Q: 24. Solve the following integral using substitution method: f8x√2x² - 1dx

A: Sol:- ∫ 8x2x2-1dxTake the constant out:  ∫a·fxdx=a·∫fxdx=8·∫ x2x2-1dxIntegral Substitution…

Q: 1 dz I|z||=2 2z – 3

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Q: It asks for the value of the integral, and it says the answer should be 1, but I got -1. Can you…

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Q: Express the integral in terms of the variable u, but do not evaluate it 15x-14 dr: u = 15x – 14…

A: Topic = Integration

Q: e4z dz I|z-1||=2 z – 4

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Q: Solve the following integral, using any method shown in class. z-1 dz 2z2 + 10z

A: We have to find the integral ∫z=1z-1z3-2z2+10zdz.

Q: ,4/z dz Jl|z||=2

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Q: dx 2x² 2. + 6

A: Given ∫4x2x2+6dx In order to solve the given integration first substitute 2x2+6=u and then proceed.…

Q: 3. Solve the following integrals: a) f(5x+2)³¹dx

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Q: Give the appropriate trig sub that would be used to evaluate dx. Do NOT Vx² – 16 solve the integral.

A: Given:     ∫x3x2-16dx

Q: Q2/ Find the solutions of the following integrals (Choose one only) 1) rCos20dv 2) JA S S Cosedv

A: Cylindrical  co-ordinates: Let us consider the coordinates (x,y,z) then  x= r cos θy= r sinθz=zdV=r…

Q: (1+ 부위를 류머를 마 dt + C + C A B

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Q: -dz Izll=2

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Q: Sx²e=* dx Sx²e¬

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Q: 1. Solve the following Integrals by Substitution e dr. VI - e-2r In2

A: according to our guidelines we can answer only three subparts, or question and rest can be reposted.…

Q: Solve the integral 3 | x*(a? – x²)ždx 9.

A: Given:         ∫0ax5(a2−x2)32dx

Q: Match the definite integral to the correct evaluation. 9. S12/xdx 4 9. 180 xp- A. 152 4 В. 340 С. 25…

A: TO FIND THE FOLLOWING DEFINITE INTEGRAL 1 ∫4912X dx 2 ∫4  9 180x2 dx 3 ∫056x2+10x-7 dx 4…

Q: cIn 2 et dx (e2x + 8e*+ 7)Z

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Q: Express the integral in terms of the variable u, but do not evaluate it. 17x-16 dr: u = 17x – 16…

A: Given  ∫01 e17x-16 dx ;  u = 17x-16

Q: ||22||*dz l|z||=4

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Q: Find the integral ∫3e^3? d?

A: Given,

Q: 3- The value of the integral , by using simpson method andn 3 is 0.96375. F TO

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Q: Solve the following Integral Equation: -t + x(0) = 3 %3D

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Q: Which of the following values of makes the following integral improper? k = 1 k29 ks9 Give a reason…

A: We have to solve given problem: Note: There is a mistake in given integral, first I will show you…

Q: Express the integral in terms of the variable u, but do not evaluate it. 14.x-13 dx; u = 14x 13 -…

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Q: Express the integral in terms of the variable u, but do not evaluate it. e14x–13 dr; u= 14x – 13…

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Q: Solve the following integral with details 1 -r/20 cos² e r² dr sin@de ¢ do = x X = ? 32na

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