Find the indefinite integral. (Use C for the constant of integration.) 5 8x3 + x2 X dx

Q: Complete the square and find the indefinite integral. (Use C for the constant of integration.) x2 dx…

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Q: Evaluate the integral. (Use C for the constant of integration.) (x2.8 + x-1.2) dx

A: Power rule

Q: Evaluate the following integrals. 1. dx (9+ e²=)

A: The given integral,     ∫ex9+e2x32dx

Q: II. Perform the integration. sinh?(e-") 4. e# cosh(e-¤) dx

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Q: find integration: S x² dx O x?/3 O x*/3 O none of the above

A: We need to evaluate the following integration ∫x2dx Formula Used : ∫xndx = xn+1n+1

Q: Determine the constant of integration of f (x)= ƒ (15xª – 3x²) da if f (1) = 4? O None of the…

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

A: 1)

Q: Find the value of the following definite integrals. Show your solution. L₂(x¹+4) dx 2. (cos x + tan…

A: Topic = Integration

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: 2 3 3t dt - 3 -2

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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: бх + 9 dx V6х — х2

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Q: 2x+3 dx 2x3+6x2+4x Find the definite integral

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Q: Given |(-6x° – 4x + 5x – 3)dx, evaluate the indefinite integral. Do not include +C in your answer.

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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: Use integration by substitution to solve the integral below. Use C for the constant of integration.…

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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: dx the correct solution of this integral is:- 1+x A) 2 V5 В) Зл

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

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

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Q: What values of a and b maximize the value of the definite integral | (x - x²) dx a a = b =

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Q: Find the general indefinite integral. (Use C for the constant of integration.) 5 - 6u* – u² + ) du 8…

A: Given Data: Integrand: ∫u5-6u4-u2+85du The power rule of integrated is, ∫xndx=xn+1n+1+C ......1

Q: csc? (2x) dx 1 + 5cot² (2x)

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

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Q: S dx (36x² + 1)²

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Q: 1. Do the integration by substitution for the following integral and find the value of definite…

A: We have to find the given integral value.

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: 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: If you were to use a substitution of u = 4x³ - 2 to evaluate the definite integral below, what would…

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

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

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Q: valuate the integrals. 3 Зx sec+ 3xdx (

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Q: 4) Evaluate the definite integral: s?(2n² - 4x + 8)dx. |

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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: If you were to use a substitution of u = 3x³ + 6 to evaluate the definite integral below, what would…

A: Given integral: ∫-144x23x3+64dx We have to use substitution u=3x3+6 to evaluate the new limit of the…

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: Use integration by substitution to solve the integral below. Use C for the constant of integration.…

A: This question is based on Indefinite Integral.

Q: Using integration by parts, solve the following indefinite integral |x?eš*dx

A: We will evaluate the given integral.

Q: Solve the integral shown below. Show your solutions. 3xe ²x dx

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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: 13x? + 17 I( 2x+1)(x² + 4 dx What is the indefinite integral of

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Q: Find the indefinite integral. (Use C for the constant of integration.) 6 + 9x dx (x8 + 1)e*³.

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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: 2х-х2 dx

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