3. Which integral should be evaluated using substitution? 9dx (b) dx 1+x2 1+9x2 (a)

Q: How to evaluate the integral of [(dx)/(9-x2)(3/2)]

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Q: Evaluate the integral. (5x2 - 4x +5) dx

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Q: Evaluate the integral. X- 8 dx x2 - 7x + 10 Jo

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Q: 3 dx 1 4x – x2 – 3

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Q: Use the properties of integrals to verify that 2 < V1 + x² dx <2/2

A:

Q: use trig substitution for integral of [(x^2-1)^1/2]/x^4

A: To integrate the given rational function,using the appropriate trigonometric transformation

Q: evaluate integral of (6x^1/2 + 6x^2)dx from 4 to 9

A:

Q: Evaluate the integral (2x + 6)dx x² – 2x + 17

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Q: Use any method to evaluate the integral. dx X>11 (x²-121) 3/2

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Q: Evaluate the integral. бх + 2 dx = | x2 + 2x – 3 -

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Q: Evaluate the integral. | (7x2-6x +7) dx

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Q: Evaluate the integral. 0.6 x2 dx V 9 - 25x2

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Q: Evaluate the integral. dx 3x2 + 11x + 6 0.

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Q: Evaluate the integral: / (3x+5)dx x²+2x+1

A: ..............(1)

Q: 1 dx x² – 4x + 4

A:

Q: What is the integral of (4-3x^2)/(x(x^2-4)) dx

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

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Q: x+3 dx x²+6x+7

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Q: Evaluate the integral. х3 — 5х — 8 dx x2 — х — 6 -

A:

Q: Evaluate the integral: ∫ (2x2 − 3x)2 dx

A: ∫(2x2-3x)2dx

Q: Evaluate the integral. 7x - 6 -dx (x+4)(x² + 1)

A: We have to find solution

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

A:

Q: Evaluate the integrals

A: “Since you have posted multiple questions, we will solve first question for you. To get remaining…

Q: Use an appropriate trigonometric substitution to evaluate the integral below. x2 dx 9 – x2

A:

Q: Evaluate the integral. (Use C for the constant of integration.) (4x4 3x-2 + 5x-5 + 2) dx

A: By using integration formula we can easily solve it. See attached file for a step by step…

Q: x5 dx + 1)ž (36x²

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Q: dx 5x2 + 16

A:

Q: Evaluate the integral of [(dx)/(x2)(sqrt(x2-1))] dx

A:

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

A:

Q: Evaluate the integral. '5 x - 4 dx x2 - 3x - 18

A: We first factor the denominator. ∫-25x-4x2-3x-18dx=∫-25x-4(x-6)(x+3)dx

Q: Evaluate the integral 9x² √x² + y² dzdy dx

A: Given problem:-

Q: evaluate the integral.

A: Given integral:

Q: What is the integral of (4-x^2)/(x(x^2-4)) dx?

A:

Q: Evaluate the integral. 12x – 9 - dx = x2 + lx – 6 4 -

A: Given, Evaluate ∫4512x-9x2+1· x-6dx

Q: Evaluate the integrals using the substitution method of 3x2(x3-4)9 dx

A: Given: Let I=∫3x2x3-49 dx To Find: To evaluate the given integration using the substitution method.

Q: What change of variables would you use for the integral  ∫(4 - 7x)-6 dx?

A: Consider the following integral: I=∫4-7x-6dx Substitute 4-7x=t→-7dx=dt→dx=-17dt in I:…

Q: Evaluate the integral. (2x2 dx +X +

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Q: V9x² – 5 - dx . .2 fact to determine the integral 9x?

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

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Q: Evaluate the integral: 9e3x dx е3x Vебх — 25 -

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Q: -dx (4+5x)*

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Q: What is the integral of dx/(1_4x)

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

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

Q: What is the integral of (5x-7)/(x^2-3x+2)dx?

A:

Q: Evaluate the integral. dx xV 49x2 - 6

A: Given that: ∫dxx49x2-6

Q: Evaluate the integral dx (7x + 6)2

A:

Q: Evaluate the integral |- 5x + x3 - 2 x5 dx 3

A: Topic:- integration