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

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Q: I. Find the following integrals. – 8x +5)dx 2. [(-6x' +9x² + 4x - 3)dx 1.

A: 1. Consider the given integral. I=∫5x2-8x+5dx

Q: Use a table of integrals to find the indefinite integral.

A: To find: The integration of ∫e3x1+ex3dx. Formula used: Power rule of integration: ∫xndx=xn+1n+1+C…

Q: What is the integral of dx/((1+x^2)^2)

A: Given integral Now,

Q: Given the integral 8 dx 5x2 - 3

A: We are given the integration: ∫85x2-3dx To integrate this ,we have to  choose the correct…

Q: ) 「ざs")dx

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Q: Find the following integral: Integral  (3x2 + 3x + 1 divided by x3 + 2x2 + x) dx

A: Given the integralI=∫3x2+3x+1x3+2x2+xdx         .....(1)

Q: 1 use this fact and the properties of definite integrals to evaluate 3 (7 - 6х2) dx. Given that x²…

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Q: '1 1 Given that x² dx = use this fact and the properties of integrals to evaluate (8 — бх2) dx.

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Q: Which of the following integrals is equal to the integral/ f(3x- 5) dx? |

A: use integartion formula

Q: Evaluate the integral. integral    (  x2 -5x +16 )/ (2x+1) (x-2) 2 dx

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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: Evaluate the integral. | (e7* +3e -x) dx 7X +3 e -X) dx=

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Q: Evaluate the following integrals using the different methods of integration 5x + 6 dx (х — 2)(3х +…

A: Given that a integration and we solve it by using general formulas of integration. F(x)=…

Q: The improper integral dx x²+4x+8

A: We solve this integration with the help of some basic formula of integration and sone basic…

Q: Evaluate the integrals:

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Q: What is the integral of ((x^2)*e^(3x))dx from 0 to 1?

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Q: Evaluate the integral

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Q: xe dx

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Q: (b) Evaluate 1 (x-2)¹/3 dx by using properties of improper integrals.

A: b Given integral is ∫131x−213dx. We have to evaluate the given integral by using properties of…

Q: The improper integral e-3x dx 0. equals Refer: improper integral O 1 O 1/3

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Q: Evaluate the integrals below: 1 2y .dx cos3x а) .dx, b) 0. lelsin3x – 1)

A: Here I am attaching image so that you understand each and every step.

Q: Use the value of the first integral I to evaluate the two given integrals. 3 | - 27 (x3 - 6x) dx =…

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Q: 5) Evaluate the integrals using appropriate substitutions a) sec 2x tan 2x dx b) 2x+1

A: Given that, a) ∫sec32x tan 2x dx b) ∫x2x+1dx For evaluating those indefinite integrals,  we need to…

Q: Evaluate the integral 6 dx (x+1) (x2+4)

A: Given,

Q: Show using residues that   the integral from 0 to infinity of dx/(1+x^6) equals (2pi)/3

A: We have to show that ∫0∞dx1+x6=2π3 by using residue theorem. Now, ∫Cdz1+z6=∫−RRdx1+x6+∫γdz1+z6 Now,…

Q: Given that | ex dx = e3 - e, use the properties of integrals and this result to evaluate (5ex - 3)…

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Q: 1 |xe*dx 1-

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Q: Evaluate : Integral from 0 to 2 : 2x^2 e^-2x dx

A: To determin the value of the definite integral.

Q: 1 dx = 2 o 4+x'

A:

Q: Given that x². use this fact and the properties of integrals to evaluate (3 — бх?) dx. dx

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Q: 17. Find the integral of ((x^4)/((x^2)+7))dx

A: Given: Let I=∫x4x2+7 dx To Find: To evaluate the given integration

Q: 2. Find the integral of xe*dx using Simpson's 1/3 Rule with n = 4.

A: Simpson's 1/3 rule for integration :-  here 'h' is difference between each interval which are…

Q: 4 8 + x2 dx /1

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Q: The improper integral| dx x²+4x+8

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Q: Evaluate the integral S-21 (x+2)(x-1)dx

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Q: Evaluate the integral: 1 2x + 4 dx x² +1/

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

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Q: evaluate the given integral.

A: Solution:-The given integral is  ∫x+2(x-1)(x+3)dx since  x+2(x-1)(x+3) is solved by partial…

Q: 4-Évaluate the following integrals a) In dx b) ] ()"- dx 5/2 tan x

A: Integration:   The collection of all antiderivatives of f is called indefinite integral of f with…

Q: the integral , dx is equal to: -2 x2+4x+5 4 2 the above the above

A: We will find the solution of the integral.

Q: evaluate the given integral.

A: The given integral ∫2x+1xx2+4dx can be evaluated as, ∫2x+1xx2+4dx=∫2x2+4dx+∫1xx2+4dx The integral…

Q: e 2x 3/ex + 2 dx

A:

Q: Evaluate the integral. Integral of [(x-6) / (x2 − 6x + 8)]] dx from the interval 0 to 1.

A: Given

Q: 1. Evaluate these integrals either by substitution or by integration by parts: cln 2 et a sin(2r) dr…

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

Q: If the integral of /x + 1 dx from x = 0 to x = y is equal to 14/3 , what is y?

A: Substitution Method is used

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

A: Given∫123x-5dx

Q: 0. (7x + 10e") dx 1.

A:

Q: 1 use this fact and the properties of integrals to evaluate (5 - 6x2) dx. Given that

A:

Q: Given the integral 8 dx 4x - 5

A: Given,         ∫84x-5dx