Evaluate the integral. (Use C for the constant of integration.) x² + 9x + 1 dx (x² + 1)2

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Q: Evaluate the integral: fe2 /1+ e2 dx

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Q: Q9/ find the integration ſe^( (2x) ^3-1) x2 dx? * 1 а- 6. e2x* -1+c 1 b- e2x3 +C 1 .2x3–1+

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Q: Q.1 Find the integral of f 2 /x+ e* ) dx. - 3

A: We will find the integral as following.

Q: dx b. (x² + 1)(x² – 2x + 1) -

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Q: -x + 2 dx . x2 + 2x ate the integral

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Q: dx 2. S (x²+4x+4)(x²–4)

A: We will integrate as following.

Q: dx 3. S- х(х+1)(х2+5х+6)

A: Explanation of the answer is as follows

Q: Rewrite the integration in terms of u. 2x dx = du x² + 16

A: Given :∫032xx2+16dx

Q: Solve the integral: A B D 3√√√x² +C 6√x +C + C 6 √x 3 3√x dx

A: We have to solve integral

Q: Show the similarity 1 (x² + a²)m dx = 2(-m+1)(x² + a²)m-1 using the substitution u=x^2+ a^2. Also…

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Q: Evaluate the integrals. -32 a. S x-6/5 dx 1 -π/³1 - cos 2x b. 2 -TT/3 -dx

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Q: 5x (x² +a) dx is In +eTan-1X The resulting integral of + C, where a, b, d, and e are integers. What…

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Q: dx 1. S (x²+1)(x²-4)²

A: Use partial fraction to solve it.

Q: Evaluate the integrals: cos2x-1 а. cos2x+1 dx b. S- x (Iпх)5 1 S 2-**x?dx с.

A: Topic-. Integration.   Note - as per our guideline only first three subparts to be solve others can…

Q: Using an appropriate substitution, 3 the integral S dx equals: /1-4 (х-1)2

A: Here we have to evaluate I=∫31-4(x-1)2dx

Q: Using integration by substitution in ſ x³(x6 – 2)³dx, what is du? A. xdx В. бх5dx С. (х6 — 2)dx D.…

A: ∫x5(x6-2)dxPut x6-2=udifferentiate…

Q: 3. Evaluate the integral. (a) -2/3 dx

A: Evaluate the integral

Q: Evaluate: 2 1 dx x7 The integral is divergent.

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Q: Evaluate the integral. dx 4 a > 0 (a² + x²)3/2?

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Q: |(x² + a) 5 5x The resulting integral of dx is In +eTan-1X + C, where a, b, d, and e are integers.…

A: Given:        ∫5xx3+x2+4x+4dx Apply linearity:     =5∫xx3+x2+4x+4dx Factor the denominator:…

Q: Q2) Evaluate the integral x dx a -0.

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Q: 4x2 Calculate the integral: dx 3/2

A: I use trigonometric substitution to calculate this integral to see full solution please visit 2nd…

Q: ( (x*+2)dx x3+9x 4 Evaluate the integral: J

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Q: 2x2-6x+8 3-x-V 1-x² The value of the integral dx is

A: We have to calculate the given integral

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Q: 9x -dx. Evaluate the integral / Ta2 + 1)(2x – 2) -

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Q: Evaluate the integral x3 dx 2+100 S x3 dx +100 (Use C as the arbitrary constant.)

A: Given,

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Q: 12x + 18 1. What is the indefinite integral of / dx ? x3 + 5x2 + 2x -8

A: According to our terms and condition i have solved first question for next question repost. The…

Q: 7x Evaluate the definite integral : dx (6x2+2)2

A: Given,          ∫017x6x2+252dx

Q: 3. Find the following integrals. Sdx dx 3x-1 a. b. x2+5

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Q: Q2) Find the integral of: L*„6 tan*x dx 4

A: LetI=∫-π4π46tan4xdxTake the constant…

Q: x'dx vdu Using udv =uv The integral expression / can be evaluated using integration by parts of the…

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Q: 8x dx Evaluate the given integral: S; 4x2-5

A: Here we have to evaluate I=∫8x4x2-5dx

Q: Q2) Evaluate the integral x3 dx 3 a *0.

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Q: Find the integral of the function 6x * ln(x^2). The answer should be in form (Ax^B)(ln(x^2)+F)+C.…

A: Here we use integration by parts.

Q: 3x3-7x+1 dx # 2) Evaluate the integral X-2

A: As you have asked to solve #2) we will solve only #2).The given integral:∫3x3-7x2+1x-2dxWe will…

Q: ー2X 2 e Evaluate the integral 4え |

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Q: (a) Evaluate the integral [x (x* -1) ´dx by using substitution.

A: To evaluate the given integral ∫x3x4-12 dx by using substitution.

Q: a) [ ]: Evaluate the integral (4x + 1) In x dx c) [ ]: Evaluate the integral 2 dx (x – 1)(x + 4) |

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Q: 3 2e + 4 sin x a.

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Q: Q2) Evaluate the integral x* dx 0.

A: To evaluate the given integral

Q: xdx 4 The integral of -25 – 8x – r2 S,A + In B + C. 3 Determine the following. The value of A if x =…

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Q: -1 х2 Using substitution method, evaluate the integral Jo dx 0 x3+1

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Q: 5x |(x²+ a) The resulting integral of dx is In +eTan-1X + C, where a, b, d, and e are integers. What…

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Q: 3 Evaluate the integral: J3 a(x-3) dx Answer:

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Q: Evaluate using integration by parts o D (x²-3) e² dx е

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Q: Find the integral [(x** +(-1)°x*!) In((a+2)x)dx b+1 с+1

A: The integral has been solved n attached in the second step.

Q: Evaluate the integrals: i) ² ²2 xe dy dx **² -xz

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…