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

Q: Find the indefinite integral ∫ (e−3x + 2e2x + 3) / ex dx

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Q: La -x* + 2x - 1)dx

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Q: Find the indefinite integral.

A: We have to evaluate the following integral: ∫x2-3x+2x+1dx

Q: 2 3x dx xp, Evaluate the indefinite integral.

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

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Q: Find the indefinite integral.

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Q: 1 use this fact and the properties of definite integrals to evaluate 3 (7 - 6х2) dx. Given that x²…

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Q: Find the indefinite integral ∫ dx/√(1 − 4x2)

A: Consider the integral, ∫ dx/√(1 − 4x2) Let f(x) = 1/√(1-4x2) By using the trigonometric…

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

A: Answer is given below.

Q: Evaluate the indefinite integral: (x² – 3)*(2x) dx -

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Q: Find the indefinite integral ∫ e−x4(−4x3) dx

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Q: Consider the indefinite integral 26 dx: (x7 + 6)"

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Q: dx (1 – x3

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Q: ∫(−6x6−2x3−4)dx

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Q: Evaluate the definite integral. dx | 25 + (x + 4)2

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Q: 6 Use the definition of the definite integral to evaluate | (x? - 2) dx.

A: Consider the given integral. I=∫06x2-2dx

Q: Evaluate the indefinite integral. x2 dx 0.2x3 + 2.7 + 2.7

A: topic - indefinite integral

Q: (In x) dx x+1 c) d)

A: Definite integration

Q: dx 15. x1+(In x)*]

A: Given:       ∫10dxx1+lnx2       =∫101x1+lnx2dx substitute u=ln x→dudx=1x→dx=xdu…

Q: dx (apply the properties on how to solve improper integrals 1 – x²

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

Q: Evaluate the indefinite integral. 4x dx x2 +1 + C

A:

Q: 4. Evaluate the definite integral by using substitution. x-1 dx (x+ 2)2/3 -1

A: given the definite integral is∫-16 x-1(x+2)23dx

Q: Find the indefinite integral. ∫5xe−x2 dx

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Q: Find the following indefinite integrals. 24x² a) S -dx (3x4-8) b) c) (-2x² - 15e* + √√x³) dx…

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Q: Evaluate the indefinite integral: et – 7x dx - + C. 5

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

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Q: 4x dx x2 +1 + C

A: The solution is :

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: 13. x-x dx x² +x?

A: We need to evaluate the integral ∫13x-x-3x2+x-2dx ................ (1)

Q: Evaluate the indefinite integral -dx x4 + 3

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Q: Evaluate the indefinite integral.

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Q: Find the indefinite integral. ∫ (x3 + 4) dx

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Q: 2(x*) dx

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Q: Find the indefinite integral. x + 7x2 + e) dx

A: The sum rule of integration states that ∫a+bdx=∫a dx+∫b dx. The constant rule of integration states…

Q: (E) dx 4 2. \(3x-5)2,

A: We have to evaluate the given definite integral.

Q: e2x 2.) S. dx ex – 5

A:

Q: I need help solving the integral of the problem below.    ∫(√x+∛x)dx

A: Given integral can be written as

Q: dx -> X-VX dx 12 X-(X) b.) =In (x-1x)?

A: Solve the given integral

Q: Find the indefinite integral. ∫(x4 + 3) dx

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Q: Calculate the value of the definite integral. 5 4 dx

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Q: 6. Use the Method of Substitution to find the indefinite integrals: et*dt b) /; 9 xp=

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Q: dx (4 + x²)²

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Q: In -dx x²

A: This is a problem of integration. Based on the general formula of integral by parts we will solve…

Q: Vx2 – 4 dx x2

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

A: Given,          ∫x2e2xdx

Q: 3 aluate the indefinite integral by using the substitution u = x + x° to reduce integral to standard…

A: Please refer to the image below

Q: ∫y + 3/(3-2)^2/3 dy

A: ∫ y+33-223dySimplify: =∫ y+3dyApply the Sum Rule:  ∫fx±gxdx=∫fxdx±∫gxdx=∫ ydy+∫ 3dy=y22+3yAdd a…

Q: Evaluate the indefinite integral. ex. 1 + ex dx + C

A: For the given functions indefinite integrals are determined

Q: Evaluate the indefinite integral: x(7+6x³) dx +C.

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Q: ,(x² – 4x)dx 1.

A: To solve the integration