2 Using substitution, the definite integral 3x2 dx is equivalent to /x³ + 1

Q: Evaluate the definite integral

A: Given :

Q: (7x³ + 4x²)dx

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Q: Evaluate the definite integral two ways: first by a u-substitution in the definite integral and then…

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Q: Evaluate the integral. x³ + 4 - dx (x + 4) (x + 3)

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Q: Evaluate the indefinite integral S- dx 3x² x³√x6-1 O 3+C sec-1 +6 O sec-1x3 3 + C ec²¹x² + C sec 3…

A: SOLUTION-

Q: use a geometry formula to find the exact value of the definite integral (x/2 +3)dx on interval[-2,4]

A: To calcute the value of the definite integral ,using geometric consideration (ie. without using…

Q: (8 - 3x2) dx. Given that dx = use this fact and the properties of integrals to evaluate

A: Given: ∫01x2dx=13 The objective is to evaluate the integral of ∫018-3x2dx

Q: Use the substitution rule for definite integrals to evaluate the following definite integral.…

A: Given,

Q: Evaluate the given definite integral. 12x dx 12x dx = (Type an integer or a simplified fraction.)

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Q: View Image for problem

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

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Q: value

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Q: The value of the definite integral 3 [² (3x² Jo 0 is (3x² - 2x + 4)dx

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Q: Use substitution to find the indefinite integral.

A: Integration by substitution is a method to solve integrals line in the above question where the…

Q: e2X dx V1+e2x

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Q: 4) Evaluate the definite integral: Sº, (4x² – 3x + 4)dx.

A: Given integral ∫-164x2-3x+4dx Recall the formula ∫xndx=xn+1n+1+cWhere, c is constant…

Q: What is the value of definite integral ∫ (top of ∫ Is 1, bottom is 0) -6x^3(3x^4-2)^5 dx. Enter the…

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Q: Evaluate the indefinite integral:  ∫ (3x2 + 1)(x3 + x)2 dx

A: We have to evaluate the indefinite integral: ∫3x2+1x3+x2dx Rewriting the integral by using…

Q: Find the indefinite integral.

A: To find: The indefinite integral of ∫1x231+x13dx. Formula used: ∫afxdx=a∫fxdx ∫1xdx=ln x+C

Q: (a) Use the Midpoint Rule with n = 6 to approximate integral 8 x-6 S8 dx 6 x+8 ?

A: As per the instruction, we will be answering the first question. Given:

Q: evaluate the definite integral.

A: Here given Use the standard result of integration as

Q: 2. ** 3x3-2x²+4 dx 2. S* :

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Q: Evaluate the integral. 0.4 x2 dx 4 - 25x2 |

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Q: 46. Evaluate the definite integral (3x² - 4x - 5)² (6x-4) dx. 81

A: As per our guidelines we are supposed to answer only one. Kindly repost others question as a…

Q: Use the Change of Variables Formula to evaluate the definite integral. 1 dx V3x + 5 (Use symbolic…

A: Given:       ∫0413x+5dx      substitute u=3x+5→dudx=3→dx=13du            =∫0413udu taking constant…

Q: Find the indefinite integral. X< + 12x + 1 .3 dx to x° + 18x² + 3x + 4 ,2

A: Given: Let I=∫x2+12x+1x3+18x2+3x+4 dx To Find: To evaluate the given indefinite integral.

Q: 36 Use substitution to find the indefinite integral dx. (6x - 7) 36 dx = 7 (6x - 7)'

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Q: /1 x² dx /2 2 x2

A: I am going to calculate this integral using trigonometric substitution.

Q: Evaluate the indefinite integral.

A: We will solve the following

Q: Evaluate the indefinite integral. V 4 + x² dx = %D

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Q: Use substitution to find the indefinite integral. 4x° e 4x* dx .3 e 4x* dx =

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Q: Use substitution to find the general integral (x-4) *dx x²(x- 4) $dx = %3D |

A: We have to find the integral

Q: Consider the indefinite integral 7x4 dx 7x5 – 9 - (a) The most appropriate substitution

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Q: Evaluate integral 0 to 3 (x 3 -6x) dx

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Q: Use the substitution rule for definite integrals to evaluate the following definite integral. 2+7)…

A: The given integral is

Q: Evaluate the definite integral: 1/4 dx V1-22

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Q: Use integration by substitution and the Fundamental Theorem to evaluate the definite integral. 2 |…

A: Use substitution method

Q: 1. Without the use of U-substitution evaluate the integral of. |7x0 – 4x³(x? – x* + 2)*dx

A: As per guidelines, we are  entitled to solve only one question.Pleaserepost remaining questions…

Q: Evaluate the indefinite integral. x + 3 dx x2 + 6x

A: Given,            ∫x+3x2+6xdx

Q: Evaluate the indefinite integral: 3 3 x² dx + С. x3

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Q: Evaluate the definite integral. integral 0 to 1  ( x divided by 1+2x2) dx

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Q: Find the indefinite integral -dx (2-x ²)? dx = 2-x)?

A: To find the indefinite integral:∫x2-x22dx

Q: Evaluate the indefinite integral. x + 3 dx x2 + 6x + 10 Integral =

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Q: Evaluate the definite integral. 1/5 5 dx V1- 25x2

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Q: Use the Change of Variables Formula to evaluate the definite integral. 4 dx V5x +3 (Use symbolic…

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Q: valuate the definite integral: 4 x* — 2ух + 2 - -dx. x2

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Q: Use a change of variables or the table to evaluate the following indefinite integral. 2x2 dx 13-4x

A: Given,          ∫2x23-4x3dx

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

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Q: Evaluate the indefinite integral. dx (9 – x²)3/2

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