Use integration by substitution and the Fundamental Theorem to evaluate the definite integral. 2 | 11x(x² + 1)*dx Enter the exact answer. 2 | = 11x(x² + 1)*dx

Q: Find the indefinite integral. (Use C for the constant of integration.) |(2x - 1)(6x2 - 6x + 1)/3 dx

A: Using method of substitution

Q: Find the indefinite integral. (Use C for the constant of integration.) Je- (2 - x)3(2 - x)² d

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Q: Find the indefinite integral. (Use C for the constant of integration.) 4x(2x² + 3)6

A: Here we have to find the indefinite integral.

Q: •2 dx

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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: Use properties of the integral and the formulas in the summary to calculate the integrals.

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) x3 dx 1 + x8

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Q: Find the indefinite integral using the formulas from Theorem 5.25. (Use C for the constant of…

A: Given:      ∫51+e2xdx

Q: Find the indefinite integral using the substitution x = 3 sin(0). (Use C for the constant of…

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Q: Find the indefinite integral. (Use C for the constant of integration.) |zV 16z2 - 81 zp

A: ∫1x2+a2 dx = 1aarc tan(xa)+C

Q: Calculate the indefinite integral x²sin(x)dx Show your calculations.

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Q: dx x In* (x)

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) ∫(sin…

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) xV7 - x2 dx

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Q: e2X dx V1+e2x

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Q: Find the general indefinite integral. (Use C for the constant of integration.) 4x - 9/x dx

A: To find the indefinite integral: ∫4x3-9xxdx Solution: Evaluating the given integral.…

Q: Evaluate the indefinite integral. (use C for the constant of integration.) x3 – 3x2 + 4x – 8 dx

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) tan-(5x) dx 1 + 25x2 1 2…

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Q: 5 -dx x² – 4

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) X³VX2 + 19 dx

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Q: (x² – 1)*dx

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Q: Use integration by parts to find the indefinite integral. (Use C for the constant of integration.)…

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Q: Find the general indefinite integral. (Use C for the constant of integration.) + 9x3.5) dx

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Q: Find the general indefinite integral. (Use C for the constant of integration.) 7x2 ) dx

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

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Q: Find or evaluate the integral by completing the square. (Use C for the constant of integration.) 1…

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Q: 5. { xe*dx (1 + x32

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Q: Use integration by parts to evaluate the integral. (Use C for the constant of integration.) In(5x)…

A: Given , the integral We have to evaluate the integral by using by parts formula.

Q: 1. Do the integration by substitution for the following integral and find the value of definite…

A: We have to find the given integral value.

Q: Use integration by parts, together with the techniques of this section, to evaluate the integral.…

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) a + bx5 dx 6ax + bx6

A: Given the following integral:

Q: Now evaluate the indefinite integral in terms of u. (Use C for the constant of integration.) - [ w -…

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Q: Evaluate the integral -2t sin(-3t) dt Note: Use an upper-case "C" for the constant of integration.

A: Given Integral;

Q: definite integral of 1 at the top and 0 at the bottom x square root of 56x^2+25 dx

A: Let the given definite integral be y - y = ∫0156x2+25dxy = ∫0156x2+2556dxy = ∫0156x2+5562 dxy =…

Q: (-4 sec Xtanx-7sec K,

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Q: Evaluate the integral. (Use C for the constant of integration.) 3 + 2x - x2 dx

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Q: Use trigonometric substitution to find or evaluate the integral. (Use C for the constant of…

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) /(6 - 5x)8 dx

A: Given:

Q: Use a table of integrals with forms involving e" to find the indefinite integral. (Use C for the…

A: mok

Q: Select the basic integration formula you can use to find the indefinite integral, and identify u and…

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Q: Select the basic integration formula you can use to find the indefinite integral, and identify u and…

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Q: Find the general indefinite integral. (Use C for the constant of integration.) + 8x + 7) dx

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Q: (x-2)" dx

A: The objective is to use improper integral technique to solve the integral given below.

Q: 7. Evaluate the integral. (Use C for the constant of integration.) √x² - 25 x² - dx

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Q: За? +8х —12 dx x3+7x²+12x 3x +8x- -12х

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Q: Select the basic integration formula you can use to find the indefinite integral, and identify u and…

A: This integral comes under substitution and the substitution is,

Q: Use integration by parts to evaluate the integral. (Use C for the constant of integration.) In(4x)…

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Q: Find the indefinite integral. (Use C for the constant of integration.) (1 - e2x dx

A: We need to find the following indefinite integral.                ∫ex1-e2xdx

Q: By using integration by parts, one can prove the reduction formula. | (In(x))" dx = x(In(x))" – n /…

A: This question is about application of integration

Q: Use the general power rule for the integration to find each indefinite integral. a)∫(4x^3 +2x)(x^4…

A: “Since you have asked multiple questions in a single request, we will be answering only the 1st…