Evaluate the integral below using integration by parts given that u = In (4x³) and dv = * dx. In (4x*) dx Be sure to place the argument of the logarithmic function in parentheses in your answer. Provide your answer below: s la(tx°) dx =|

Q: Find the indefinite integral. (Use c for the constant of integration.) (4t³i + 6tj – 6ik) dt

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Q: Evaluate the following integrals using integration by -parts S sin-1 y dy

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: Find the indefinite integral. (Use c for the constant of integration.) (4t³i 14tj – 3vtk) dt +

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Q: e*dx 5.

A: topic - integration by parts

Q: Find the indefinite integral. (Use C for the constant of integration.) 8. de cos(e) – 1

A: This question is related to indefinite integration, We will solve it using given information.

Q: Find the indefinite integral. (Use c for the constant of integration.) | (4t°i + 8tj – 4Vik) dt

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Q: Evaluate the given integral. Use c as the constant of integration. e 22xdx

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Q: Find the indefinite integral. (Use C for the constant of integration.) cos. de e2

A: We will find the indefinite integral as following.

Q: Evaluate the following integral: (Note that the constant of integration has been added for you.) | =…

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Q: Find the indefinite integral. (Use C for the constant of integration.) sin(a^) « dx

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Q: Evaluate the integral. (Use C for the constant of integration.) s¯¹(x) dx COS

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Q: Approximate the following integral by the trapezoidal rule, and then find the exact value by…

A: We need to use the trapezoidal rule to evaluate the integral.  Now, the trapezoidal rule is used to…

Q: Evaluate the following integral by changing the order of integration. I | cos(x*) dx dy

A: We have to evaluate the integral by changing of order.…

Q: Evaluate the integral. (Use C for the constant of integration.) 6 + du 2

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Q: Find the indefinite integral. (Use C for the constant of integration.) 7t + 4 dt

A: ∫e7t+4 dt = e7t+47+Cexplanation is given in below step

Q: Evaluate the integral. (Use C for the constant of integration. 9r15-r8 e

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Q: Find the indefinite integral. (Use c for the constant of integration.) (4t³i + 8tj – 4Vtk) dt

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Q: Find the indefinite integral. (Use C for the constant of integration.) 175 dx e¯* + 1

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Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) dx,…

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Q: Q2) A. Evaluate the following integral using the Simpson's rule, giving the answer correct to 3…

A: Numerical integration, by Simpson's rule

Q: Find the indefinite integral. (Use c for the constant of integration.) 4t³i + 12tj – 9VEK) dt

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Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.)…

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Q: Find the indefinite integral. (Use c for the constant of integration.) |(4t³i + 8tj – 4Vtk) dt

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Q: Find the indefinite integral. (Use C for the constant of integration.) dx Vx? - 4

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Q: Evaluate the integral by making the given substitution. constant of integration.) x5 dx, u = x6 – 3…

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Q: Evaluate the following integral by reversing the order of integration: dx dy.

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Q: Evaluate the integral. (Use C for the constant of integration.) ∫(36dx/ (36 + e^x))

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Q: Find the indefinite integral. (Use c for the constant of integration.) (4t³i + 4tj – 6/ik) dt

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Q: 2e* -dx 8+ et •3 dx o x-2 TeCos(T2) 1 - dx 14 csc(Tx)

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Q: Q2: Evaluate the integral by integrating the equivalent reversed order: 13 e* dydx 1 e

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Q: Evaluate the integral below using integration by parts given that u = In (4x³) and dv = dx. In (4x°)…

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Q: Use Simpson's rule to find the value of the following integral -3x² dx -0.9 e 0.1 where n=4

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Q: (3x5 - 2x - 1) dz. dx

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Q: Consider the following. 5,000e0.1x dx Find a substitution to rewrite the integrand as 50,000e“ du. u…

A: ∫5,000e0.1x dx Now put  u=0.1x Differentiating with respect to x, we get dudx=0.11⇒du=0.1 dx

Q: Find the indefinite integral. (Use C for the constant of integration.) 2 de cos(e) – 1

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Q: 16. | (ez/a – e-xla)dx. n/3 sec 0 tan 0 do. Vesec e 17.

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Q: Consider the following. 8,000e0.1x dx Find a substitution to rewrite the integrand as 80,000e" du. u…

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Q: Find the indefinite integral. (Use c for the constant of integration.) (4t³i + 10tj – 3Vtk) dt

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Q: Consider the following. 4,000e0.1X dx Find a substitution to rewrite the integrand as 40,000e" u =…

A: The given integral is- ∫4000e0.1xdx Let u=0.1x Differentiating w.r.t. x to both sides-…

Q: Evaluate the integral. (Use C for the constant of integration.) (5 + e) dx e

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Q: Find the indefinite integral. (Use C for the constant of integration. 9. de cos(8) – 1

A: The given integral is ∫9cos(θ)-1 The trigonometric identity is cos θ=1-2sin2θ2 Integration of…

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.)…

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Q: Find the indefinite integral. (Use c for the constant of integration.) (4t3i + 14tj – 6/tk) dt

A: we have to find the indefinite integral

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) dx,…

A: Let I is the value of given Integral

Q: Consider the following. 9,000e0.1x dx Find a substitution to rewrite the integrand as 90,000e" du. u…

A: To evaluate I=∫9000e0.1xdx Substitute u=0.1xdu=0.1 dx

Q: Consider the following. 9,000e0.1x dx Find a substitution to rewrite the integrand as 90,000e" du. u…

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Q: Evaluate the integral by naking the given substitution. Use C for the constant of integration) a* dx…

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Q: xp

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Q: Evaluate the integral. (Use C for the constant of integration.) e8x ex/2 dx

A: Explanation of the solution is given below...