Evaluate the integral. Sa x² + 9x – 1 dx J (x – 4)(x² + 1)'

Q: Evaluate the integral. In 2 e2X dx (Hint: eln a = a)

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Q: The improper integral 1 dx is 'o 2V1-x²

A: this can solve simply by apply the integration formula

Q: Evaluate the integral J dx V4-9х2 3.

A: This question is related to integration.

Q: dz 2 t´ + Zz-3

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Q: calculate the integral of: e(x^2/2)

A: We'll use the Maclaurin series expansion for e^(x^2/2).

Q: Evaluate the integral of ((x dx) / (x + 1)^8) from 0 to 1.

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Q: +00 dx -Evaluate the improper integral x (In x)²

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Q: Substitute u = x + 2 into ul0 - 2u° + C to evaluate the given integral in terms of x. 10 | x(x + 2)8…

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Q: 1 dɔ V9-x² 3

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Q: e2 In(x) da

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Q: 2x Evaluate the improper integral J dx, if it exists. (x2 + 64)2

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Q: xdx J Væ +3

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

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Q: 1. ſ (x-1)dx x2+5x+6

A: The given integration is ∫(x-1)x2+5x+6 dx  We have to find the integration for the given integral

Q: Evaluate the integral f 2x (x? + 1)“ dx using the substitution u = x2 + 1.

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Q: Q1/ Use Gauss-Legendre formula to evaluate the integral o e-dx withn= 3.

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

Q: iS dx Evaluate the integral improper integral (2x- 1)3 - 00 1/4

A: we have to find the integral.

Q: what is the integral of e^(-2a|t|) from 0 to w

A: Given integral: ∫0we-2atdt

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

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Q: +00 dx II. Evaluate the improper integral x(In x)²

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Q: Evaluate the integral: el/z dx -1

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Q: Find the integral. dx x2 + 3 + C

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Q: The improper integral 2dx 0. 1-x2 3 T

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Q: Evaluate the integral. a dx a > 0 (a² + x²33/2'

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Q: Find the product of the integral In(3) S Som) xy e*y* dxdy

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Q: 1 4. f₁² (1-x²) dx 5 2

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Q: Evaluate the integral f 2x (x² + 3)° dx using the substitution u = x2 + 3.

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Q: B) Evaluate the following integrals: 1- dx 1-22

A: Let's find.

Q: Evaluate the integral using the given substitution. dx ,u = 6x + 1

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Q: Evaluate the integrals ∫√(1 + cos (t/2)) dt

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Q: Evaluate the integral. a 6 dx ਚ 2 + a> 0

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Q: Evaluate the integral using the given substitution. Sx4x5 -s;² dx , u =x5 -8 * - 8) + C

A: We have to solve given integral by substitution.

Q: Find the integral of dx V1 – x²

A: Solve by integration

Q: 1 dx 2. 0 (2x+1)Vx²+x

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Q: Evaluate the integral √ (k+ 2) ( k + 3) dx

A: Note:- according to the company policy we can attempt only one question so please upload the next…

Q: evaluate the integral.

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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: A. Evaluate the integral of the follo x+4 1. dx

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Evaluate the integral. | (In(3.x))² dx = +C

A: From the given problem: I=∫ln3x2dx  ....(1) Let, t=3x So, ddxt=ddx3xdtdx=3dx=13dt Nw substitute…

Q: Evaluate the integral. In 5 2x 3 e X dx 0.

A: Basic integrals : →∫mneaxdx  = eaxamn Properties of Logarithm : →aln(x) = ln(x)a. →elnx=x.

Q: Evaluate the integral

A: Solution Given ∫01x2(1-x2)52dx We need to evaluate the integral

Q: Evaluate the integral, 00 xn+1e-a²x* Jn(bx)dx, a > 0, b> 0,

A: Bessel's function of first kind of order n, denoted by Jnx is defined as Jnx=∑r=0∞-1n22rr! γn+r+1x2r…

Q: Evaluate the integral. B 4х- 3 dx J2

A: To evaluate:

Q: A Evaluate the following integrals. 1. fx² In x dx 2. S tan-ix dx

A: Let I=∫ x2lnxdxApply integration by part,I=ln(x)∫x2dx-∫ddx(ln(x)∫x2dxdxApply power rule…

Q: Evaluate the integral. 7 - x2 | x5y dy

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Q: Compute the integral | x"dx, with a=1, b=7, and N=5. Answer to three decimals.

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Q: Q2: Evaluate the integral fx In x dx using by parts formula

A: Note:- As per our guidelines, We can answer the first question since the exact one wasn’t specified.…

Q: Evaluate the integral of ((x dx)/(x + 1)8) from o to 1.

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Q: Evaluate the integral.

A: Evaluate the integral.              ∫04-x2x2ydy