10) Evaluate the following integrals: 7x6+3 a) dx x2

Q: Evaluate the Integrals: ∫ (2x2+3)dx/x(x+1)2

A: Given the integration I=∫2x2+3x(x+1)2dx

Q: Evaluate the integrals ∫36 dx/(2x + 1)3

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Q: 3.1 dx . 2 V3x – 2x² -

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Q: Evaluate the integral dx (5x + 9)* by making the appropriate substitution: u = dx (5x + 9)*

A:

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

A: Firstly, we find the indefinite integral and then take lower and upper limit to find the given…

Q: Evaluate the integrals: 8 dx (a) ] Tx– 2)(x+6)

A:

Q: 1 use this fact and the properties of integrals to evaluate dx =3 (7 – 6x2) dx. Given that

A:

Q: 4 5y²-8X+6) dx =?

A: To evaluate the given definite integral

Q: Evaluate the given integral 2x +3 -dx- (x + 1) (x – 1)²

A: Integration formulas help to integrate the given fuction. Simplification of the function helps to…

Q: 2. Identify which of the following integrals are improper: 1 1 dx 1 fin(x)dx 1 X +3 1 fe* dr -dp- 3

A:

Q: 2.) Evaluate the def inite integral dx o x²+4

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Q: Evaluate the integrals ∫dx/1 + (3x + 1)2

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Q: The integral 1 = [(x* + 5e* + vx )dx is equal to:

A: Given integral is∫x4 + 5ex +x dxevaluate....

Q: 3 3+ Vx dx

A:

Q: Evaluate the integral 2.x2 + 6x + 5 dx, x2 + 3x + 2

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Q: evaluate the integral.

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Q: Calculate the following integrals: (6X-5)dx 3.1 I = S V3x²-5x+6

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Q: 4 + V16-x? dx 3 2

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Q: Evaluate the integral: - c s 4x)dx

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Q: Given the integral J6x2 - 4x dx бх2 - 4х

A: Complete the following question involving basic integration techniques. Given the integral…

Q: Evaluate the integral 2x2 + 6x + 5 dx, x2 + 3x + 2

A:

Q: 10) Evaluate the integrals by substitution 2 -dxp 3 -2 (x² + 2)° a)

A: We have to evaluate the integrals by substitution method: ∫-22xx2+23dx Assuming, t=x2+3 Then…

Q: Evaluate the integrals.

A: The given integral is ∫022x+13 dx. Evaluate as follows.

Q: 1 dx = 2 o 4+x'

A:

Q: 2 dx o 2x² + 3x + 1

A:

Q: 3 Use only the fact that 3x(4 - x)dx = 22 and the properties of integrals to evaluate the integrals…

A:

Q: Evaluate the integrals ∫cos 2x dx

A: We have to evaluate the integral: ∫cos 2x dx In this case we do use substitution method so assuming,…

Q: Evaluate the improper integral : S 4x³e¬9*, dx

A:

Q: 2 Which of the following integrals is equal to (3x – 5) dx if u=3x – 7?

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Q: 1-3x 4. dx /2x-3x2

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Q: evaluate the defmite Integral га (X -2)dx 4.

A: Given integral:

Q: Evaluate the following indefinite integral. dx xV 4x2 – 1 ||

A: Given, ∫dxx4x2-1  We have to evaluate the indefinite integral.

Q: Evaluate the integrals: 1. ftan5 x dx 2. f sin 2x cos 3x dx

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

Q: Evaluate the integral. (7x + 2) dx x2 + 4

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Q: ex dx V1 - e2x

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Q: Calculate the following integrals: (6X-5)dx 3.1 I = S; 3x2-5x+6 dx 3.2 1 = S; 1tyx+1

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Q: Evaluate the integral .8 xV x+1 dx

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Q: Evaluate the given integrals. 7x-4Vx 1. S S VE () dx

A: Let's find.

Q: To evaluate the integral/ V3 – 3x² dx,

A: Substitute, x=sin(θ)dx=cosθ dθ The expression f(x) becomes,

Q: Evaluate the integral

A: Given: ∫00.6x29-25x2dx

Q: Evaluate the following integrals 3 dx a) , -1 3x-2

A: ∫−103 dx3x−2Let t=3x−2dtdx=3⇒dt=3dxAs x=−1→t=−5As x=0→t=−2

Q: Evaluate the integral. x sec (8x) dx + C

A:

Q: 2 Which of the following integrals is equal to (3x – 5) dx if u =3x – 7?

A: Given∫123x-5dx

Q: Evaluate the following integral. 16 dx 1- vx 16 dx | (Type an exact answer.) 1-

A:

Q: Evaluate the integrals using the trig substitution x dx 2. Vx² + 1

A:

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: 36" dx o V6 + 3

A: We have to find out

Q: Evaluate the integral J 1 dx 9+x2

A: Given,             ∫19+x2dx