8x Evaluate the given integral Jo (4+x²)2 dx using the substitution u = 4 + x². A. Estimate to three decimal places the value of:

Q: Evaluate the iterated integral. 8 4 b²b²x + (x + y) dy dx

A: Given query is to find the value of the integral.

Q: Evaluate the given definite integral using appropriate substitution: 8e2a dx -4e4 +4 A © -4e4 – 4 В…

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Q: Q#01: Find the complete integral of x²p? + y²q? – 4 = 0 using Charpit's method.

A: To find the complete integral of using Charpit's method.

Q: a) Integrate the following integrals i) S(4e2 + Vx) dx Sx(3+x²)10 dx ii)

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Q: Evaluate the integral. (Use C for the constant of integration.) t3 dt V1- t8

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Q: H.W: Evaluate the integral (x²y - 2xy) dydx 1. 30 0-2

A: As per your query the solution of the question no 1 is given in the next step.

Q: a) Evaluate the following integrals S(x2 - 2x + 1) dx. i- i- Jx cos x dx.

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Evaluate the following double integral. Give an exact value. ∫1x=0∫1y=0(5x6+9y3)dydx=

A: First integrate with respect to y and then with respect to x.

Q: Q1: Evaluate the following integrals by substitution dx 1. e cos e*dx dx 3. J 2x- 3

A: Solve by substitutions

Q: Use the value of the first integral I to evaluate the two given integrals. 3 9 4 3 (8х-2x3) dx b. J…

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Q: 1. Approximately compute the value of the following integral, as accurately as possible, using the…

A: Note:- Here, you mention function f(x) is creating little bit confusion for me. Is…

Q: Evaluate the integral. dx a > 0 (a² + x²j3/2?

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Q: Evaluate the integral х3 dx x2 +49 х3 dх x2 +49 (Use C as the arbitrary constant.)

A: We substitute x^2+49=t, then the given integral become

Q: 2. Evaluate the following integrals: (a) - (x +1)?* dx (b) xVx -1 1xV

A: (a) Given:  ∫-∞∞xx2+12dx Let say,   x2+1=u⇒2xdx=du⇒xdx=du2. Therefore, ∫xx2+12dx=12∫u-2du=-12u+C  ,…

Q: 3. Use substitution to find each indefinite integral. (a) S svs? + 4 ds (b) S(2 – x)e4x-x² dx -8x…

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Q: Find the following indefinite integrals. (» /= +1 dx. (a) x2 (b) / : re dx. xe' 2.x +1 dx. x2 +1 (c)

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Q: Vi (1 + t) dt

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Q: Evaluate the given integral using the substitution (or method) dx; u = . 7e +C Show My Work…

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Q: Evaluate the integral. V4– e2¤ dx +C

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: Evaluate the integral p.v. J e2ix -dx. 00 x+1

A: We can apply Cauchy integral theroem to find the integral.

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

A: Important integrals for the question: ∫sec2 x dx = tan x + c ∫un du = un+1/(n+1) + c Other important…

Q: The integral of the given function J_1 Jœ+2X3=x) dx is equal to a. Arcsin 0.2 + Arcsin 0.6 b. Arccos…

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Q: A. Evaluate the following integrals by substitution. 1. fx(2x2 + 3)%dx x5 2. S; dx (x6-8)2 3. Sx V1-…

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Q: Use Romberg integration to compute R3.3 for the following integral x sin x dx

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Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) dt…

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Q: Evaluate the integral x3 dx 2+100 S x3 dx +100 (Use C as the arbitrary constant.)

A: Given,

Q: Evaluate the integral. (Use C for the constant of integration.) pA In(t) dt * Ince) C must be in…

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Q: Evaluate the integral. (Use C for the constant of integration.) dt t4 + 10

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Q: 2. Evaluate the following integrals. If substitution is required pick out "u", form du, and write…

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Q: evaluate the given double integral. (1– y)x² dxdy

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Q: Evaluate the integral. NÓTE: Enter the exact answer. xy" dy dx

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Q: dx I = S %3D a²+x2 e.

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Q: E 3y dx dy Evaluate the integral

A: Consider the given integral  ∫01∫-1-y21-y2 3y dxdy

Q: Evaluate the integral using the given substitution. x co 2 (3x) dx, u= 3x X COS sin (u) + C O B. sin…

A:

Q: Given the integral: fcos-¹ 1 x dx

A: Given :    Integral : cos-1(x) dx

Q: Evaluate the integral dx 11+ e* using the substitution u = 11 + e". e dx 11 + ea +C

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Q: Calculate the following integral: 4 I V16 - x dx .2 0.

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Q: Q3/ Choose the correct answer to evaluate the following integral dx = J。aーメ

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Q: Find the following integrals using the method of substitution. t2 dt /6+t3 x2 b) J ; dx 5x3+8

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Evaluate the iterated integral. 18 5 (x + y²) dx dy

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Q: x3(1 + x4)5 dx,    u = 1 + x4

A:

Q: A. Evaluate the following integrals: Sx² e**dx 1.

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Q: Use the three-point Gauss-Legendre formula to evaluate the integral dx Ső (2x + 1)²

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Q: Perform the substitution u = 21 + 1 to evaluate the indefinite integral 14e+ dt. Use Cfor the…

A: To evaluate:∫ 14e2t+1dt

Q: Calculate the definite integral. 4xy Vx2 + y2 dy Calculate the iterated integral. (1 (1

A: Here we have to calculate ∫014xyx2+y2dy

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) dt…

A: To find: The integral ∫dt1-7t6. Formula used: Power rule of integration: ∫xndx=xn+1n+1+C

Q: Use integration by parts to find the integral. (Use C for the constant of integration.

A: It is required to solve the integration by parts:

Q: Evaluate/Find the following integrals. dx 3. S 1+ x

A:

Q: A-Evaluate the following double integral - (x² + y²) dy dx fo

A: As per the company's guidelines, we are supposed to solve first question for you, kindly repost…

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.)…

A: To evaluate: