Find the indefinite integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.) x³ - 3x² - 6x + 21 dx x2 - 7

Q: Among the given choices, which of the following definite integrals have the smallest value? dr B x²…

A: To Find:Which of the following definite integrals have the smallest value.Formula:∫xndx=xn+1n+1+C

Q: Find the indefinite integral of the following. Show your full solution. (Answer numbers 1-3) 1. (2x*…

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

Q: dx 2. S (x²+4x+4)(x²–4)

A: We will integrate as following.

Q: Given ∫(−2x6 +3x5 −3x3 −6)dx, evaluate the indefinite integral. Do not include +C in your answer.

A: Evaluate the indefinite integral as follows.

Q: Using the same definite integrals from the previous problem, which one of the following is the value…

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Q: 4. (ази t эзо

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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: 1/6 dx 3.S T1-9x2

A: Solve the definite intregal

Q: Given ∫(4x5−3x4−x2−2)dx, evaluate the indefinite integral. Do not include +C in your answer.

A: Given ∫4x5-3x4-x2-2dx

Q: Evaluate the indefinite integral. (use C for the constant of integration.) (-1) dr (x³-7)7 18(x° -…

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Q: ∫-10 − x2 (4x3 +5)3 dx Determine the value of the definite integral given above. Enter your answer…

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Q: Given ∫(−6x5 +5x3 +1)dx, evaluate the indefinite integral. Do not include +C in your answer.

A: To calculate the indefinite integral of the expression -6x5+5x3+1. To integrate the provided…

Q: Given ∫(−6x6−4x5+5x−3)dx, evaluate the indefinite integral. Do not include +C in your answer.

A: Given ∫(−6x6−4x5+5x−3)dx

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

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Q: (36 – x² \dx Evaluate the definite integral:.

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Q: Q2: Solve the following integrals: (3) dx

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Q: (a) 18 d.x x² – 49 (b) 20 1 - dx 2x2 – 72 (c) 6. - dx x² – 4x – 5

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Q: Determine the indefinite integral | 5x4(x5-6)8 dx by substitution. (It is recommended that you check…

A: Let's find.

Q: ∫-10  x2 (4x3 +5)3  dx Determine the value of the definite integral given above. Enter your answer…

A: Given,

Q: Q2: Solve the following integrals: (3) √ √dx dx (4) fxe* dx

A: Note: "According to the guidelines of Bartleby we will only solve first question for you. Kindly…

Q: 7 Use the properties of definite integrals to find f(x) dx for the following function. 2 4x + 1 if…

A: We will solve the problem

Q: -2 What is the value of the definite integral e* dx? -4

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Q: 3) Erawate the definite Integral Јц (12x2-4х +3 )dx

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Q: x² To solve the indefinite integral dx, rewrite the (1 + x²)2

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Q: f (x) dx 5- 10 -5-

A: Negative

Q: S dx (36x² + 1)²

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Q: 3x – 4 What is the value of the definite integral dx? Enter your answer as an exact fraction if…

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Q: 3. Given ∫(x5−3x4+6x3+3)dx, evaluate the indefinite integral. Do not include +C in your answer.

A: The given integral is ∫ (x5 -3x4 +6x3 + 3) dx.obtain the integral value as follows.

Q: refer to f -3)dx x-2 What will be the answer when the integral is evaluated? Show your solution…

A: Integration of the given integrand x2-3x-2 can be found with the help of the division algorithm and…

Q: Evaluate the definite integrals a) (бх? — - 2x – 10) dx = / (x+ 4)² dx = b) 1 c) (x* – x³ ) dx - ||

A: Some of the properties of integration  ∫abf(x)dx=F(b)-F(a) ∫xndx=xn+1n+1+C…

Q: Use the Change of Variables Formula to evaluate the definite integral. dx (x2 +2)° (Use symbolic…

A: Answer and explanation is given below The formula of integration is ∫xndx=xn+1n+1+c Let…

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

A: (a) To integrate: ∫ex2dx We know that, ex=1+x+x22!+x33!+⋯⋯=1+x+x22+x36+⋯⋯ Now, ex2=1+x2+x42+x66+………

Q: Decide whether you can find each integral using the formulas and techniques you have studied so far.…

A: Given: I=∫2dxx2+4 we know that ∫dxx2+a2=logx+x2+a2+c                                      ..1

Q: Find as many integrals as you can using the formulas and techniques you have studied.…

A: (a) part Consider the given integral ∫dxxx2-1 Use the substitution method to find the integral…

Q: Find or evaluate the integral by completing the square. (Use C for the constant of integration.) 1…

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Q: Evaluate the integral. (Use C for the constant of integration.) |(x* - 6x?3°x³ - 2x) dx

A: NOTE: Refresh your page if you can't see any equations. . ..............(1)

Q: За? +8х —12 dx x3+7x²+12x 3x +8x- -12х

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Q: dx x2-6x+20

A: To evaluate the given definite integral

Q: Evaluate the definite integrals (give exact answers): 3 a) | (2x +3)(x – 5)dx 2 1 - (2³ – 2x² + 1)dx…

A: a) ∫23(2x+3)(x-5)dx ∫23(2x2 -10x +3x -15)dx ∫23 2x2 -7x -15)dx [2x3/3 -7x2/2 -15x ]23 18 - 63/2 -45…

Q: Solve the integral 3 | x*(a? – x²)ždx 9.

A: Given:         ∫0ax5(a2−x2)32dx

Q: In3 (1 – x)el×l dx solve this integral without integration by parts.

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Q: a) Find the definite integrals of the following functions (i) Sx(x² +9)10 dx (ii) xp xu)x (iii) S…

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Q: aluate the definite integral. x6 + a2 dx (a > 0)

A: We have to find the integral

Q: +1 dx x+1 10.

A: As we know that the power rule: ∫xndx=xn+1n+1+C ; n≠-1 From the given problem: I=∫01x3+1x+1dx

Q: 4. Evaluate the integrals. Simplify your answers. 3x+5 dx x+9 е.

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Q: r2 c-x+3 3 J(x-1)² 4x° dydx

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Q: Evaluate the integral -3 dæ x² + 16 Note: Use an upper-case "C" for the constant of integration.

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Q: Evaluate the integral, if possible. (Hint: use the table of integrals and substitution)

A: Use the properties of indefinite integral to simplify.Let w = x^4.Calculate dw and simplify using…