logz x (Hint: rewrite using change of base first) a) S" dx

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) e -du (8 - e")?

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: (x²-5) -dx J x3+15+12 c3.

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Q: Find the following integral. Note that you can check your answer by differentiation. 4x dx 2+ e4x

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Q: Find the indefinite integral. (Use C for the constant of integration.) 4. do cos(0)

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Q: Evaluate the following indefinite integral. You must show work. 1 + =)dx

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Q: Find the indefinite integral. (Use C for the constant of integration.) dx 49 + e4x

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Q: Find the indefinite integral. (Use C for the constant of integration.) 8 – ex e3x

A: Given that: ∫8-exe3x.dx

Q: Evaluate the definite integral. (Round your answer to three decimal places.) 'In(7) to dx 1 + e2x

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Q: . Evaluate the following integral or state that it diverges: Ln xe3x dx

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Q: Find the indefinite integral. (Use C for the constant of integration.) (In x)7

A: This is a basic integration problem

Q: Can you use the Log Rule to find the integral below? Explain. ∫ x / (x2 − 4)3 dx

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Q: 17. Why doesn't the definite integral 1-x² dx make sense? (Hint: Think about domains.)

A: To find: The reason why the definite integral ∫231-x2dx does not make sense. Explanation: Substitute…

Q: Sea(4 + e3*)-1 dx

A: Solving the problem by finding the solution of the integral.

Q: Evaluate the following definite integral. Express your answer in terms of logarithms. In 6 S In 5…

A: Given: I=∫ln5ln6coshx4-sinh2xdx. To be find: evaluate the given integral. Formulas used:…

Q: Evaluate the following indefinite integral Use C for any constant of integration 81 – x10 dx =

A: ∫tn dt = tn+1n+1+C ∫cos(at) dt =1asin(at)+C

Q: Find the following integral. Note that you can check your answer by differentiation.

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Q: Find the indefinite integral. (Use C for the constant of integration.) 7 7 10

A: ∫ 7θ2 cos 7θ dθLet  7θ = x⇒ -7θ2 dθ = dx⇒ 7θ2 dθ = -dx

Q: Solve the new Integral using the General Log Rule. Then, back-substitute x into the equation.…

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Q: Can you use the log Rule to find the integral below? Explain. (x²-4)3 dx

A: Explained below

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) | 2 sect() dx

A: Note : As per our guidelines we are supposed to answer only one question . Kindly repost other…

Q: Find the following integral. Note that you can check your answer by differentiation. dx = 5+ e5z

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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 indefinite integral given below. ∫ x(x+7)4 dx

A: Given query is to find the integration.

Q: The rate at which a substance grows is given by R'(x) = 195 e 0.5X, where x is the time (in days).…

A: This question can be solved by integrating R'(x) with proper limits.

Q: (log3×)" dx 1. log3 x)2

A: Note:  We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Use the indicated formula from the integration table in Appendix C to find the indefinite integral.…

A: Given query is to find the value of integration by given formula.

Q: 4. Sx3 In x* dx

A: Integration by parts: - Integration by parts is a technique for combining the output of two or more…

Q: Find the indefinite integral. (Use C for the constant of integration.) x8 + 24 dx 17

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Q: Evaluate the integrals So 2 log2 (x+2) dx (x+2)

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Q: 3t dt 1 - 9t4

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Q: Use a Table of Integrals to evaluate the integral. 2xdx Va4 +1 log la" + Vz +1|) Check your…

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Q: Evaluate the integral: 1 - coth² (log₂ x) S² x cosh(log₂ x) dx

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Q: Zvaluate the given indefinite integral. Show your detailed solution. (Non-anonymous questionO) 2x2…

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Q: e4x dx 6+ e4x

A: Given: I=∫e4x6+e4xdx

Q: 5. Evaluate the indefinite integral, ſ' coth- dx. - 6.

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Q: 15 50 + n'(t)dt

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Q: Find the areas between the curves y = 2(log2 x)/x and y = 2(log4 x)/x and the x-axis from x = 1 to x…

A: To determine the area between the curves and the x-axis.

Q: Find the indefinite integral. (Use C for the constant of integration.) 2e 1/x x2

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Q: Find the following integral. Note that you can check your answer by differentiation. dt 14

A: ∫ t+82t4 dtRewrite as : ∫ t2 + 16t + 64t4 dt⇒ ∫ 1t2 dt + ∫ 16t3 dt + ∫ 64t4 dtUsing formula : ∫ xn…

Q: In x dx .2

A: We need to solve the integral.

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: (-5sin t) dt

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Q: x²-x x+1

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Q: Evaluate the following indefinite integral. You must show work. -)dx X

A: We have  to evaluate the indefinite integral.

Q: xp

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Q: Approximate the definite integral below using Simpson's Rule with n = 4. 3. x* d.x

A: The solution is given as

Q: Use familiar area formulas to evaluate the definite integral.

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Q: What is the value of the definite integral 61 +2 dt?

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Q: (x²–x) 1.) S-x) _dx x3+15+12

A: Note: As per company policy we are supposed to solve only 1 question, SO, kindl