Vx +1 dx Vx – 1 3 3 X,

Q: Evaluate the integral. x? + x + 1 dx (x² + 1)²

A: To evaluate the given integral

Q: Evaluate the integral. 3 x e* dx = +C

A:

Q: Evaluate the following integrals: 1.Jx S dx 1-х4 dx VX 2 2.5 3.5² dx X

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Q: Find the integral [((a+1)x+(b+1))((c+1)x+(a+2))*** dx .

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Q: et dx e – 2e*

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Q: Evaluate the following integrals- dx x(Inx)((Inx)2-3lnx+2)

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Q: Evaluate the integrals below: cos3x a) dx, b) 2y Velina - 1) etsin3a)

A: We have to evaluate the following integrals, (a)∫cos3xesin3x2-1dx(b)∫012yy2dx

Q: Evaluate the integral :(x² + y* )dzc>xcy = ?

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Q: dx S- VVx+1

A: As per the company's guidelines, we are suppose to answer only first question. Kindly repost the…

Q: Evaluate the following integrals: V¤(x+1) dæ = zVa(5x + 3) +C A 2 (B) +C

A:

Q: Evaluate each of the following integrals: 4sin-1(6x2) хе a) V1-36x* dx

A: Hi there, at a time we can answer only one question at a time and the exact one was not specified.…

Q: Evaluate the following integrals. xdx |Ja +3 а. b. z · 3*dz | VI (2 – x)² dx с.

A: Let's find.

Q: Evaluate the integral: 36 x dx + C

A: According to question given that ∫x336-x2 dx

Q: Evaluate the integral. x sec? (7x) dx + C

A: We have to find integral.

Q: X' 2 -1 Vx * dx X,

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Q: Evaluate the following integrals: | Vx(x+1) dx •..

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Q: Evaluate the following Improper integral: dx , x² + 2x + 4

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

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

Q: Evaluate the following integrals: dx 1. Vzax-x2

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

Q: Evaluate the integral by making the given substitution.   ∫ x2  √( x3  + 1)    dx , u =  x3   +1

A: The integral formula to be used are: ∫xn dx=xn+1n+1+C, where C is an integral constant. 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: Calculate the following integrals. I (b) /2 I sec rdx-

A: The given integration is  I = ∫xsec2xdx

Q: Evaluate the integral. x? + x + 1 dx (x² + 1)?

A:

Q: dx Væ(x+1)

A: Let I=∫14dxxx+1. Put x=t2 and differentiate it with respect to x. ddxx=ddxt21=2tdtdxdx=2tdt

Q: et dx 2x

A: To evaluate the given interval, ∫exe2x+5dx We use the method of substitution to evaluate the…

Q: Evaluate the integrals (a) | x? Vx + 3dx (b) I Vx+2– x|dx -

A: A detailed solution is given below.

Q: Evaluate the following integrals.

A: Evaluate the following integrals.

Q: Evaluate the integral.

A: ∫x24-x232dx Put, x=2sinθ⇒1=2cosθ·dθdx⇒dx=2cosθ·dθ

Q: Evaluate the iterated integrals  ∫1 0  ∫1 0 dxdy

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

Q: Evaluate the following integrals. i) / V+ + e dy ii) /x /x° Vx? – I dx ii) L x+2 dx x-+4x-2

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Q: dx 3 x'Vx -1 1.

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Q: Evaluate the integral.

A: To evaluate: ∫dxx2-4x Given integral can be re-written as: ∫dxx2-4x=∫1x2-4x+4-4dx=∫1x-22-22dx We…

Q: Evaluate the integral.

A: ∫ex1+exdx Formula ∫xndx=xn+1n+1+C

Q: calculate the following integrals, assuming fCx)=ユ) fx)dx=7 f(x)dx= %3D

A: ∫01fxdx=1∫02fxdx=4To find:∫12fxdx

Q: Evaluate the integral

A: ∫1+x2xdx Put, x=tanθ⇒1=sec2θ·dθdx⇒dx=sec2θ·dθ

Q: y V3 x dx 8y-y2

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Q: Evaluate the integral. V1-y² (x² + y²)dxdy

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Q: Evaluate the integrals: (a)∫xex/2dx (b)∫e2xsinx dx. (c)∫xcos(2x)dx.

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Q: Evaluate the integral. /x + c dx

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Q: Evaluate the integral: 6/ x² dx + C

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Q: Evaluate the following integrals: xex dx 2. xe/2 dx 1.

A: Given: I1=∫xe5xdx, I2=∫xex2dx For evaluating given integral, we use integral by parts theorem…

Q: Evaluate the integral m(x) dx x2

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Q: Evaluate the following integrals. i) S Vỹ+ + edy i) /x Vx? – 1 dx x+2 dx x2+4x-2

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Q: dx 3 Vx Vx (1+Vx)²

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Q: Evaluate the integral. 5 x2 e dx +C

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Q: Sx² Vx – I dx

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

Q: Evaluate the following integrals: 4x (a) 3xet dx (b) / z In(2)dz (c) / 2°e d.x

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Evaluate the double integrals: [(x + y+1)dxdy

A: Here we will evaluate given double integral,

Q: Vx? – 1 dx 4

A: