Evaluate the indefinite integral. dx x(In (x) (Express numbers in exact form. Use symbolic notation and fractions where needed. Use C for the arbitrary constan into C as much as possible.) dx x(In (x))3

Q: Find the indefinite integral.

A: Integration is summation of discrete data. The integral is calculated for the functions to find…

Q: Find the following indefinite integral: ∫12x (x2 – 9 )-3 dx. Hint: Use a Substitution

A: Given: I=∫12xx2-9-3dx for evaluating given integral, we substitute x2-9=t…

Q: Find the indefinite integral

A: Consider the integral

Q: Evaluate the indefinite integral ∫ e 14x- 7 dx

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Q: Evaluate the indefinite integral. 11 + x°dx + C

A: The given integral is ∫x511+x6dx

Q: Evaluate the indefinite integral -dx x6 + 1 + C

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Q: Find the indefinite integral of the following. Show your full sol 1. (3 – 2x)°dx 2. 3(x – 1)(2– 3x)…

A: Given, To evaluate a) ∫15(3-2x)2dx  b) ∫263(x-1)(2-3x)dx

Q: Find the indefinite integral ∫ e5x−3 dx

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Q: Find the indefinite integral

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Q: Given ∫(2x5+x3+6x−2)dx, evaluate the indefinite integral. Do not include +C in your answer.

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Q: Find the following indefinite integrals. x* – 5x dx. 2. x3

A: Answer is given below.

Q: 1. Evaluate the following integrals using appropriate methods and simplify your answers. (a) ² dr

A: We will answer the first question as you didn't mention any. Please resubmit the other questions…

Q: Find the indefinite integral ∫ x2/(5 − x3) dx

A: Given integral:

Q: Find the indefinite integral.  (7-e^x)/e^3x dx

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Q: Find the indefinite integral ∫(x3 − 8x) / x2 dx

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Q: Find the indefinite integrals, if possible, using the formulas and techniques.

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Q: 6. Find the indefinite integral x² dx

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Q: Use the properties of indefinite integrals to rewrite (or break down) the following integral…

A: The solution is given below :

Q: Find the indefinite integral ∫ (x2 + 8) /x√(x2 − 4)  dx

A: Given that: The indefinite integral ∫x2 + 8xx2 - 4 dx

Q: 73/2 + 2x/2 – 4x¬1/2 dx

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Q: Find the indefinite integral.

A: Formulae used: aman=am-n1an=a-nddxex=ex∫xndx=xn+1n+1+C

Q: Evaluate the indefinite integral. 8 + x*dx + C

A: topic- indefinite integral

Q: Find the indefinite integral ∫ x /(x2 − 3) dx

A: we have to find the integral  ∫xx2-3dx

Q: Find the indefinite integral. e2x dx 4+e4x

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Q: Evaluate the following indefinite integrals using U-Substitution. Thank you! 6. ∫ x3 (2-x2)12 dx

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Find the indefinite integral

A: Explanation: Given that,  ∫e2x4+e4xdx   Substitute  e2x=ue2x(2)dx=due2xdx=du2 Now 12∫14+u2duNow put…

Q: Find the indefinite integral. ∫(5x/e2x) dx

A: The by parts formula∫fg dx=f∫gdx-∫f'∫gdxdx+C∫exdx=ex+C∫xndx=xn+1n+1+C

Q: Evaluate the indefinite integrals. (a) ƒ 2r(x² – 3)³ dx

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Q: Find the indefinite integral. ∫(x4 + 8)/ x3 dx

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Q: Find the indefinite integral.

A: Given:          ∫x2+2x-6x4dx Expand: x2+2x-6x4=1x2+2x3-6x4 Apply the sum rule: ∫fx±gxdx=∫fxdx±∫gxdx…

Q: Find the indefinite integral ∫ (x2 − 7) / 7x dx

A: To sove: ∫x2-77xdx Solving the given indefinite integral,…

Q: In x Use a table of integrals to find the indefinite integral| dx x(4+91n x)

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Q: Find the indefinite integrals, if possible, using the formulas and techniques.

A: Given, part a: ∫x-1 Now we use the substitution u=x-1 so dx=du ⇒u du We know that, ∫xadx=xa+1a+1,…

Q: Find the indefinite integral of 1/3 e x dx

A: Given indefinite integral is: I=∫13exdx We have to integrate the above with respect to x.

Q: Find the indefinite integral ∫(ln x)2 /x dx

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Q: Find the indefinite integrals of following if possible i. ∫−x^3 /(8 − (x^4/2)) dx  ii. ∫(4x^2+ 8?)^3…

A: i) The integral  is ∫-x38-x42dx. Substitute u=8-x42. Then du=-4x32=-2x3. ∫-x38-x42dx=-∫x38-x42dx=-∫…

Q: Evaluate the indefinite integral:  x3ln(x2-1)dx

A: Given integral By using the following substitution, we get

Q: Evaluate the indefinite integral: 6 – 4xe" dx + C.

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Q: Evaluate the indefinite integral. Type pi if you need n in the answer. x7/2 4x5/2 - 1) dx = +

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Q: Find the indefinite integral ∫(3√x+e3)dx.

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Q: Find the indefinite integral. + x + x-9) dx + C

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Q: Find the indefinite integral 1 + 3e* dx 2x x²

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Q: Evaluate the indefinite integral. x² A -dx 1- x6

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Q: 7. Evaluate the definite integral by hand. x dx -1 x' +1

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

A: Given,          ∫x2e2xdx

Q: 6 Evaluate the improper integral, if exists : dx (5 – x)3 -00

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Q: Find the indefinite integral. ∫e3x+1 dx

A: The given integral is ∫e3x+1 dx

Q: Find the indefinite integral ∫ 7/[4 + (3 − x)2] dx

A: ∫74+3-x2 dx

Q: Evaluate the indefinite integral. x + 5 dæ x2 + 10x + C

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Q: Evaluate the indefinite integral 3 8. dx 11z + C

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