Find the indefinite integral. Check your result by differentiating. (Use C for the constant of integration.) -9x2 dx (3 - 3x)2

Q: x2-x-8 What is the indefinite integral of dx ? (2x – 3 )(x² + 2x + 2)

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Q: d.x 4. x+ Va

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Q: 1 6. (3x)3 +e2 + 2x2 dx

A: Evaluate: ∫13x3-32x2+e2+x2dx

Q: Use the Exponential Rule to find the indefinite integral. (Use C for the constant of / 9xe®x? dx

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

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Q: b) (x-1)3 1 dx = ?

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Q: 3x -dx x4 + 1 Evaluate the indefinite integral. + C

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Q: Evaluate the integral. (Use C for the constant of integration.) dx x² - 3 Need Help? Watch It

A: we have to evaluate ∫xx2-3dx

Q: Find the indefinite integral. (Use C for the constant of integration.) 2 dx 4 - (In x)2 Need Help?…

A: Given query is to find the value of integral.

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: 2x-1 Use substitution to find the general integral

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Q: 8) S xe5x dx

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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: 6,2x dx 1.

A: See the calculation and answer below

Q: Find the indefinite integral. (Use C for the constant of integration.) 32 32x5 dx ,5 | 3

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

Q: Find the indefinite integral. (Use C for the constant of integration.) 7e(x8 – 2) dx

A: In this question, we need to find the indefinite integral.

Q: dx (4x²+5)' Evaluate the indefinite integral |

A: We will solve the integration.

Q: Find the general indefinite integral. (Use C for the constant of integration.) [(7x² + 8 + 2²1) 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: 5) S RIN A) 2 √5 В) Зл dx the correct solution of this integral is:-

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Q: ne J反Inx dx

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Q: 20/x² – 49 -dx - Evaluate the integral: (A) Which trig substitution is correct for this integral?

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Q: Evaluate the integral. (Use C for the constant of integration.) 3 dx x(xА + 2) Need Help? Read It

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Q: Evaluate the integral. (Use C for the constant of integration.) 2 + x dx 2 - x Need Help? Watch It

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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: 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: 3 what method would be used to solve this integral and why? osex cosex) dx 2 dX

A: Given: (a).∫excos2xdx(b).∫x2x2+9dx

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

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Q: Find the indefinite integral. (Use C for the constant of integration.) e2x dx 81 + e4x

A: the given indefinite integral is: ∫e2x81+e4xdx we have to evaluate the given indefinite integral.…

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: 1 dx ? %3D (x-1)3 8-

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Q: Select the basic integration formula you can use to find the indefinite integral, and identify u and…

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Q: Find the general indefinite integral. (Use C for the constant of integration.) (x1.2 + 9x3.5) dx

A: It is indefinite integration problem.

Q: Select the basic integration formula you can use to find the indefinite integral, and identify u and…

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

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Q: Select the basic integration formula you can use to find the indefinite integral, and identify u and…

A: This integral comes under substitution and the substitution is,

Q: Find the indefinite integral by using the substitution x = 6 tan(e). (Use C for the constant of…

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

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

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

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Q: Solve the integral. 1 5. dx JAx – x2

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Q: 2х-х2 dx

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Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.