-1 х2 Using substitution method, evaluate the integral Jo dx 0 x3+1

Q: Evaluate the indefinite integral: dz +C IV 36z2-1

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Q: e2x dx 10. V1+e2x

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Q: Solve the integral. dx 6. J1- 4e2x

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

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Q: Evaluate the definite integral.

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Q: 8. Find the indefinite integral x2 dx 3

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Q: 3. 'Evaluate the integral. 5 dx х0.2

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Q: What is the indefinite integral of / 12x + 18 - ) dx ? x3 + 5х2 + 2х —8

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Q: Evaluate the indefinite integral. dx xV 25 – x2 -

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Q: xt-x³-x-1 x3–x² dx Compute the integral.

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Q: g integral. dx

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

Q: 1. Evaluate the integral 5x + 1 dx 2x2 - x -1

A: We can evaluate the given integral by using the partial fraction method.

Q: Find the indefinite integral by making the substitution x = 9 sin e. 6. V81-x2 1 3/2 +C 81 V81-…

A: Option b is correct

Q: | V5x-4 dx

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Q: Evaluate the integral. 1 -dx (x + 8)(x² + 9)

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Q: Evaluate the integral. '5 dx L 2- 13/2 (x² – 1)3/2

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Q: Evaluate the improper integral 1 dx x - 1

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Q: Evaluate the integral. 1/2 2 - 4x + 1 dx x² – 3x +2

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Q: 5. Find the integral 1 -dx x -5x +6

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Q: 4. Evaluate the indefinite integral. 24x³e(2x*) dx

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Q: Evaluate the integral (2a+4)(x² + 4x + 2)*dx 4 by making the substitution u = x+ 4x + 2. ,2

A: Let u=x2+4x+2, now differentiate it with respect to x. du = (2x+4)dx So,…

Q: Evaluate the integral. 1/6 dx = 5x J1/13

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Q: =dx V2x* +3 4

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Q: -2 2x Jo x2-4 Só dx (Improper Integral)

A: Let I is the value of given Integral.

Q: Find the indefinite integral.

A: To find: The indefinite integral ∫dxxln x23. Concept used: Power rule of logarithmic: ln ab=b·ln a…

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

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Q: Evaluate the integral. 3 dx -2

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Q: 17 Evaluate the integral: SERV - dx x²√x² + 25 (A) Which trig substitution is correct for this…

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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: dx Using the substitution x =2 sin 0 , evaluate the integral x²V4-x 2

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Q: dx 1. -1 V1 – 2x – x²

A: Explained below

Q: 8) Evaluate the Integral x2 + 2x dx

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Q: Evaluate the indefinite integral

A: Given:

Q: Evaluate the integral. x2 2 - x3 dx =

A: We can observe that,  Numerator x2 is of the form of derivative of 2-x3 So, it can be used to…

Q: (1) [ Evaluate the indefinite integral by substitution: a+bx² dx 3ax+bx3 (2) / sec³xtanxdx T

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Q: Evaluate the integral. (x3 – 6x)dx -2

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Q: 2. Evaluate the integral: 2xe-**dx -0

A: topic - integration

Q: 4. Evaluate the integral: In6 -2x + sinh 2x|dx e2x + e-2x

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Q: Evaluate the indefinite integral. V8 + x³ dx + C

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Q: Evaluate the integral (2х — 8)dx - x2 – 6x + 18

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Q: Find the integral 15 x+3 √1-x² dx

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Q: Evaluate the integral

A: Given: ∫00.6x29-25x2dx

Q: Consider the integral 3 x2 dx 81- r /2

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Q: In x dx

A: Given: ∫lnxx2dx Integrate the given integral using the integration by parts formula.

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

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Q: 3 aluate the indefinite integral by using the substitution u = x + x° to reduce integral to standard…

A: Please refer to the image below

Q: Evaluate the integral: x2 dx V1 - x6

A: Given integral is: ∫x21-x6.dx

Q: Evaluate the integral. integral    10/ (x-1) ( x2  + 9) dx

A: Explanation: We need to find that,  ∫10(x-1)(x2+9)dx Take constant out 10∫1(x+1)(x2+9)dxUsing…

Q: Evaluate the integral. (x-5)dx 1. 1 (x²-10x+25)2

A: ∫12(x-5)(x2-10x+25)2dx