dx x V1-4 In²x

Q: 1/2 dx 3. Sx³ (a² + x²)/2dx

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Q: ) Evaluate the following integrals. 16x x4+3x2+1 3 + 24x dx (a) 0,

A:

Q: Evaluate the following Integrals : 1f xstn(5x*)dx

A: Note: As per the bartleby we have to solve only first question please upload the question…

Q: Evaluate the following integrals.

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Q: Evaluate the following integrals.

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Q: Evaluate the following integrals 2x2 + 1 dz J (x – 1)²(r + 2)

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Q: Vx +1 dx Vx – 1 3 3 X,

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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 x3+1 dx x3-x

A: We have to evaluate the integral ∫x3+1x3-xdx.

Q: Evaluate the following integrals.∫(x/√(x-4))dx

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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 following Integrals. dx V1 – 4.x2 4. -

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Q: Evaluate the following integrals.∫(x/3√(x+4))dx

A: Now put

Q: Evaluate the following integrals: dx

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

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Q: V4x2 + 9 dx (a)

A: Given :         ∫4x2+9x4dx

Q: Evaluate the following integrals: (i) S(x² + 1) e-3* dx x5-2x2 (ii) S; Vx6-4x3

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Q: Evaluate the following integrals. a. dx Vx -1

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Q: cosx dx Vsin? x-2sinx-3

A: SOLUTION-

Q: Evaluate the following integrals: Inx.dx

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Q: (x+3)² dx (x+1)3 viii.

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Q: dx (6-x²)3/2 TT

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Q: Evaluate the following integrals: Væ(x + 1) dx =

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Q: ii. x² Inx dx

A: ∫ u*vdx = u∫vdx -∫u'∫vdxdx so here we u = lnx                   v = x2 ∫ x2lnxdx = (x3lnx)/3 -…

Q: Calculate the following integrals: a) S(x-- - 2x?)dx

A: Consider the integral: ∫x-2x-2x2dx

Q: Evaluate the following integrals.

A: Evaluate the following integrals.

Q: Evaluate the following integrals by using the substitution u= 4x+ 1. %3D (a) 4x + 1) dx. (b) 4.x+1)2…

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Q: Evaluate the following integrals: x +1 1- dx (x² + 2x + 2)3

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Q: x³+2x 1. dx x2+1

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

Q: Evaluate the following integrals.

A: We have to solve the following integral ∫3x2+3x+1x3+xdx Now, we will solve this by partial fraction…

Q: Evaluate the following integrals (x2 — х)2 dx 1. x3

A: To evaluate: ∫(x2-x)2x3dx

Q: x(2x² + 1)°dx

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Q: y V3 x dx 8y-y2

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Q: -dr. I (r + 1)(x² + 2)

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Q: Evaluate the following integrals ii. fx cot-'x dx .

A: Solution is given below:

Q: 9. dx V1-x2

A: You must have the idea of basic of integral. The explanation part is given below.

Q: Evaluate the following Integrals 1. f 5 dx 2 ledr

A: We have to find the integral

Q: dx (2x241)a

A: This is a problem related to integration. Based on the general formula and concept we will answer…

Q: Evaluate the following integrals: x2 – x 1. Vx – 1 dx - 1

A: We will find the value of the integral as following.

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 following integrals. (а) 1 (&r + 1)572 dx (b) -dx Vx

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Q: dx 3 Vx Vx (1+Vx)²

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Q: Sx² Vx – I dx

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

Q: 1 1 1 dx x+2, x+1

A: We can solve this as follows:

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 following integrals.

A: The given integral is ∫13 tan-1xx12+x32 dx. Substitute t=x  and  dt=dx2x=dx2t in the above integral…

Q: Evaluate the following integrals.

A: ∫x1-9x2 dx Put, 1-9x2=t⇒0-92x=dtdx⇒-18x=dtdx⇒-18x dx=dt⇒x dx=-dt18

Q: Evaluate the following integrals C. [x√x + 1dx

A: