Express the integral in terms of the variable u, but do not evaluate it 15x-14 dr: u = 15x – 14 NOTE: Enter the exact answer. 1 e 15х-14 d.x e" du

Q: Find the integral. Box Final Answe r. For the definite integral, gve the exact answer only Ssin(Bx)…

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Q: Evaluate the integral. NOTE: Enter the exact answer. + 13/x| dx +C [ 20:r3

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Q: | (44 + 313 dx = Evaluate the integral using an appropriate substitution. NOTE: Enter the exact…

A: Let I = ∫ x3dx/(4x4+3)3 ---(1)

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 9e" + 8e-X dx…

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Q: S 4 sec2x dx 2. tan2x+2tanx +5

A: topic - indefinite integral

Q: Express the integral in terms of the variable u, but do not evaluate it. eS-4 dz; u = 5z – 4 NOTE:…

A: ∫01 e5x-4dx  here change the variable x to u u = 5x -4 du/dx = 5 dx =du/5 limit is change from  if…

Q: Express the integral in terms of the variable u, but do not evaluate it. e16 In x dx; = In x rel6 In…

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Q: 1 dx J Vx² + 2x + 5

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Q: Evaluate the integral by any method. NÓTE: Enter the exact answer. sec? (40) dө

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Q: (D) What is the value of the original integral in terms of x? -30V z2 + 25 X + C 25z

A: Using substitution we have

Q: Evaluate the integral. NOTE: Enter the exact answer. 1 + 26/x| dx 6x3 +C

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Q: Evaluate the integrals. Simplify your answers. c. S cot x sec²x dx 7/3 с. T/4 12 e. S dx

A: c.∫π4π3cotx sec2x dx

Q: Express the integral in terms of the variable u, but do not evaluate it. e13z-12 dr; u = 13x – 12…

A: by substitution method we can solve this

Q: Express the integral in terms of the variable u, but do not evaluate it. dx; и — 5х — 4 NOTE: Enter…

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Q: Express the integral in terms of the variable u, but do not evaluate it. e14x-13 dx; и — 14х — 13…

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Q: 15 dx, x8 %3D du=2x dx

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Q: dy yV3 + (In y)²

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Q: Find the general indefinite integral. (Use C for the constant of integration.) / (u6 – 2u5 – u?. du

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Q: 27 dx 37) x2/3 -1 A) 6 B) 12 C) 4 D) diverges

A: Definite integration

Q: H-W: 1- Fraluate the following integrals a - St7 +12 dt

A: (a) Assume 7t2+12=u and find the total differential.

Q: Evaluate the integral (= - 11)" de, 26 by making the appropriate substitution: u = 26 |- NOTE: Your…

A: Proceed as shown below...

Q: Evaluate the integrals. Simplify your answers. dx J4/3 4x+vx³

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Q: Express the integral in terms of the variable u, but do not evaluate it e8r-7 dx; и — 8х -7 NOTE:…

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Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. + 4e"|…

A: Here we have to evaluate the given integral and check the answer by differentiating.

Q: Evaluate the integral by any method. Enter the exact answer. y2 dy = V9 – 8y

A: The integral is ∫01y29-8ydy Use substitutions to solve the integral. Calculate the exact answer.

Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. + 4e"…

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Q: 3x?-13х+14 dx 36х2-72х

A: Topic:- integration

Q: Express the integral in terms of the variable u, but do not evaluate it. Зау 15 — 2? dx; и — = 15 –…

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Q: Consider the indefinite integral Ja Væ° + 18 dæ This can be transformed into a basic integral…

A: ∫un du = un+1n+1+C

Q: Express the integral in terms of the variable u, but do not evaluate it. e13 In x dx; u = ln x e10…

A: Fill the blanks

Q: Solue the integral equation by eliminating the Integral. %3D ya)=3+S(3t-3ty(1)) dt

A: To solve the given equation by eliminating the integral. Equation is: yx=3+∫1x3t−3tytdt

Q: Evaluate ||| (x² +y² +z² )¨ dV_where H is the solid hemisphere x² +y² +z² <16 with z<0. You must H…

A: Given, a solid hemisphere And we have to calculate the integration given in the question.

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

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

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Q: Evaluate using the Reimann Integral: L, (2a? + 3) dæ O -21 O 15 None of the choices. Please refer to…

A: I have stated the used formula in the solution

Q: Express the integral in terms of the variable u, but do not evaluate it. 3x-2 dx; u = 0, NOTE: Enter…

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Q: Which value makes the following integral improper? Give a reason for your answer. dx S. X VIn(x)

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Q: 12. Determine the following integrals. Do not simplify. (a) / (5z* + V#) dz (b) dr dy = r1. dr 13.…

A: ∫5x3+x53.dx=∫5x3.dx+∫x53.dx=5.x3+13+1+x53+153+1+K,  (where K is an arbitrary constant)=5x44+38x83+K…

Q: Evaluate the given definite integral using appropriate substitution:8 8e2 dr -4e4 + 4 ... 4e4 – 4…

A: We have to solve the problem

Q: Express the integral in terms of the variable u, but do not evaluate it. 17x-16 dr: u = 17x – 16…

A: Given  ∫01 e17x-16 dx ;  u = 17x-16

Q: Which value makes the following integral improper? Give a reason for your answer. dx Vin(x)

A: An improper integral is an integral that has either or both the limits  is infinite or an integrand…

Q: Evaluate the integral by making a u-substitution and then integrating by parts. NOTE: Enter the…

A: The given integral is: I=∫e3x dx

Q: x2 dx Vx? – 4x + 5

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Q: 4 x² dx evaluates to The integral Select one: O 1 4 1 none of the other answers

A: We will evaluate the given integral.

Q: Evaluate the integral using an appropriate substitution NOTE: Enter the exact answer. 9e" + 8e- dx =…

A: We will solve the problem

Q: T² – 36 dz Evaluate the integral:

A: Given,          ∫4x2-36x4dx

Q: Evaluate the integral. T/6 | 9 sec'x dx 2. п/6 |9 sec?x dx = 3/3 (Type an exact answer.)

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Q: Evaluate the integral. NOTE: Enter the exact answer. 1 + 11/x| dx 13x3 J+C

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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: Express the integral in terms of the variable u, but do not evaluate it. e14x–13 dr; u= 14x – 13…

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