3. Use a substitution to evaluate the following indefinite integrals, clearly stating the substitution you choose: x4 dx, (a) Ta5+ 1)° (b) / (22 + 1)(x³ + 3x)* dx.

Q: 2 3x dx xp, Evaluate the indefinite integral.

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Q: Evaluate the indefinite integral. (use C for the constant of integration.) 2х — 3 dx х? — За — 4 -

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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: Evaluate the indefinite integral. (Use C for the constant of integration.) sin(2x) dx 27 + cos (x)

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) | x³ sin(x*) dx

A: Let’s put u = x4 and then solve the integration:

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

A: Given:      ∫51+e2xdx

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) dz 3 7 + z4

A:

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: Evaluate the indefinite integral. (Use C for the constant of integration.) 8 + 4x dx 1 + x2

A: Given:

Q: Find the indefinite integral. (Use C for the constant of integration.) dz zV 25z2 - 49

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) ex V1- e2x dx

A: Calculate the integration in the following way:-

Q: integral from 0 to 2 if (x^2 dx) / (x^2 + 4)^2

A:

Q: Evaluate the indefinite integral given below. 2e3 sin (4z) cos (4x) dx Provide your answer below:…

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

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) 9. dx xV 81 - (In x)2

A: Given integral  ∫9x81-lnx2 dx keep in mind the formula  ∫dxa2-x2 =  sin-1xa+C

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) Jove ex V45 + ex dx

A:

Q: I need help solving this integral   integral of e^(-x^2) from negative infinity to positive…

A: The given integral is;

Q: Find the general indefinite integral. (Use C for the constant of integration.) 8. x° 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: Evaluate the indefinite integral. (Use C for the constant of integration.) (4). 1 sin dx

A: Indefinite integral

Q: Find the indefinite integral. (Use C for the constant of integration.) 9. dx XV 81 - (In x)2 |

A: Here we will solve the given integral,

Q: 4. Evaluate the definite integral by using substitution. x-1 dx (x+ 2)2/3 -1

A: given the definite integral is∫-16 x-1(x+2)23dx

Q: How do I calculate the indefinate integral of e^sinx(cos(x))dx

A: Given integral is ∫esinxcosxdx

Q: Find the indefinite integral. (Use C for the constant of integration.) dz zV 49z2 - 9

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) [ (In(x))²6 dx X

A: topic- indefinite integral

Q: Find the indefinite integral using the Chain Rule/U-substitution. 6x dx x2+5 3. 4. S 7xv3x² + 8 dx

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) XV 1 - x2 dx

A: The integral is given by

Q: Evaluate the indefinite integral. (use C for the constant of integration.) ∫x^5/(x^6+1) dx=

A: We can find the integration as below

Q: Use a change of variables to evaluate the following indefinite integral. 12 - 3x*)* (x1"1 -x³) dx

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Q: Evaluate the indefinite integral: et – 7x dx - + C. 5

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Q: Evaluate the indefinite integral.

A: We will solve the following

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

A: Use partial decomposition method.

Q: Determine the indefinite integral below. 3x 7 e + Vx' dx -7e 3x dx = +.

A:

Q: 2.2 (e-x* + 1) dx 0.5

A: Topic-integration

Q: Evaluate the indefinite integral. (Use C for the constant of integration. to dx 1+x20

A: To evaluate

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) dx 1 + x20

A:

Q: Determine the value of the integral: integral sign:  (x^2)(e^-x^3)

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Q: Find the general indefinite integral. (Use C for the constant of integration.) 3 4x2 + 5 + dx 2 X +…

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) (2 − 2x)6 dx

A: Let z = 2 - 2xHence, dz = - 2dxHence, dx = -dz/2

Q: 6. Use the Method of Substitution to find the indefinite integrals: et*dt b) /; 9 xp=

A:

Q: 2 dax (x³-5)3 5)3

A: Please refer the attached image for complete solution.

Q: Evaluate the indefinite integral. (use C for the constant of integration.)   ∫(−7x3+2x2+5x+3)/(x) *…

A: To evaluate

Q: Evaluate the indefinite integral. ∫x^2 e^2x dx

A: Given,          ∫x2e2xdx

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) ex V 33 + eX dx

A:

Q: 2.8 2 – 0.7 sin(x²) dx 0.3

A: Use Trapezoidal and Simpson's (1/3)rd rule to find integrals.

Q: Evaluate the indefinite integral. (use C for the constant of integration.) 2x+ 0 dx T2 +0x-9 In x² –…

A:

Q: Sx (x² + 4)5 Se3*dx

A:

Q: dx V5 + 4x – x²

A: Integrate

Q: | x(1 – x)9 dx

A: