Find the indefinite integral. (Use C for the constant of integratic 8 dz zV 4z2 - 25 V 4r – 25 -tan + C 5

Q: Determine the value of the integral Integral sign: ((z^2 + r^2)^-3/2)x((2r)dr)

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Q: Evaluate the given integral using the substitution (or method) indicated. (Use C for the constant of…

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Q: Evaluate the integral. (Use C for the constant of integration. sin (0) cos“(8) de

A: Given: ∫sin3(θ)cos4(θ)dθ

Q: 14 Find the integrals using integration by parts. a. fx(x + 4)°dx c. fr'e"dr

A: As per our guidelines I am solving only first three parts of the question please resubmit the other…

Q: ind the general indefinite integral. (Use C for the constant of integration.) 6 csc2(t) – 3et) dt

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Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

A: ∫xe6x2-4dx

Q: Find the integral using the substitution u = t8. Enclose arguments of functions in parentheses. For…

A: According to question,Given integral,∫t7 cost8 dt

Q: Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.) yV 6 +…

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Q: Evaluate the integral. (Use C for the constant of integration.) | 3x2 cos(mx) dx

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Q: Use the value of the first integral I to evaluate the two given integrals. 3 9 4 3 (8х-2x3) dx b. J…

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

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Q: Evaluate the integrals using the indicated substitutions.

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

Q: Evaluate the integral. (Use C for the constant of integration.) 6.3 t0.5 0.5 6e*) dx 6.

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Q: Evaluate the integral х3 dx x2 +49 х3 dх x2 +49 (Use C as the arbitrary constant.)

A: We substitute x^2+49=t, then the given integral become

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

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Q: 3 9-x 1 dy dx dz V9-2? (x² + y²)1/2 3

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

A: The given integral is ∫x-5x+8dx. The main objective is to evaluate the integral by the substitution…

Q: Evaluate the integral. (Use C for the constant of i 4x2 + 3x + 4 dx (x² + 1)2

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Q: Evaluate the integral: S sinhxcosh(-x)dx Select one: 2cosh2z a. +C 5 b. h 3cosh2z + C sinh2z +C 4 C.…

A: Given:  Let I=∫sinh x cosh-x dx  To Find: To evaluate the given integral.

Q: Evaluate the integral. (Use C for the constant of integration.) sin3(0) cos“(0) de

A: Here,

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

A: It is given that, ∫sec21x5x6dx   Here we'll solve this integral by using the substitution method.…

Q: Find the general indefinite integral. (Use C for the constant of integration.) 2(1 + tan?(a)) da 2…

A: We will solve this problem in following steps

Q: Evaluate the indefinite integral. 1x - 3 dx J (læ2 – 6x + 4)3 Answer = +C

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Q: Evaluate the integral. Express answer as both exact and using 2-decimal places. • T X 4 S 2cos X…

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Q: Evaluate the integral. (Use C for the constant of integration.) 2 cos(6) cos (sin(6)) de

A: The power rule of integration states that ∫vndx=vn+1n+1.

Q: Evaluate the given integral using the substitution (or method) indicated. (Use C for the constant of…

A: The integral is  ∫ ex/8 dx

Q: Evaluate the integral. (Use C for the constant of integration.) 9 cos?x sin 2x dx

A: This question is based on Indefinite Integral.

Q: Make a substitution to express the integrand as a rational function and then evaluate the integral.…

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Q: Make a substitution to express the integrand as a rational function and then evaluate the integral.…

A: Given:

Q: calculate the integral in terms of the inverse hyperbolic functions.

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Q: Evaluate the integral. (Use C for the constant of integration.) 4 sin Vx xp

A: To evaluate the given integral.

Q: Evaluate the given integral using the substitution (or method) indicated. (Use C for the constant of…

A: Using substitution u=4x-5

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

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Q: Evaluate the integral. (Use C for the constant of integration.) 9 sin?(t) cos“(t) dt

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Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

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

A: Let arccos(x)=t x=cos(t) dx=-sin(t)dt So the integral becomes - int t sin(t)dt =-t int sin(t)dt+int…

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

A: We need to evaluate the following integral  I = ∫cos6xdx…

Q: Evaluate the integral using an appropriate method. J = 3 22+5+6 dx

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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: First make a substitution and then use integration by parts to evaluate the integral. (Use C for the…

A: We have to find

Q: Find the general indefinite integral. (Use C for the constant of integration. 8 6u4 – u2 + du 5. u5

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Q: Find the indefinite integral. (Use c for the constant of integration.) (2ti + j + 9k) dt 2ti + tj +…

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Q: Find the general indefinite integral using definition. (3t*-t3+6t2 b) S(3 sin x – 4e* + 5* + 6) dx -

A: Integration Question

Q: Find the general indefinite integral. (Use C for the constant of integration.) (u + 9)(5u + 6) du

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Q: Find the general indefinite integral using definition. (3t*-t³+6t²\ a) dt b) S(3 sin x – 4e* + 5* +…

A: Part a,Given,          ∫3t4-t3+6t2t4dt

Q: calculate the integral in terms of the inverse hyperbolic functions.

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Q: Evaluate the integral. (Use C for the constant of integration.) | 9t sin?(t) dt

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Q: Evaluate the integral. (Use C for the constant of integration.) / G 6.9 + +0.5 +0.5 5ex dx 6 -

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Q: Express the integral in terms of the variable u, but do not evaluate it. 14.x-13 dx; u = 14x 13 -…

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

A: See attached file for a step by step explanation to find the required Integral.