If f(x)is the slope of a trail at a distance of x miles from the start of the trail, what does the integral (in the picture provided) represent?

Q: 5-e* 2x

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Q: Find the indefinite integral. Vx +2 -dp- 3 X,

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Q: Evaluate the integral of dx / (x + 2) from -6 to -10.

A: The complex form of integration can be converted to simple integration form by  using the…

Q: What is the value of the definite integral, ¿ xp- 「京+Na-x

A: Given integral, ∫0axx+a-xdx

Q: a) √ (³x²-²) dx S (3x2

A: In this question we have to find integration and after that We have to verify.

Q: use the graph of the function √²³ (x³²-6x) dx to explain the geometric meaning of the value of the…

A: Given function ∫03 (x3-6x) dx This below image is the graph of the function

Q: What is the definite integral of a function ƒ over a closed interval3a, b4 ? When can you be sure it…

A: The definite integral of a function f(x) over a closed interval [a,b] is a real number  denoted by…

Q: find the integral of F(x) = x6(x7-8)4 dx

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Q: Calculate the definite integral of x^2 + 4x approaches from 1 to 3.

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Q: What is the integral of a function e raised to the power -n .?

A: topic- integration

Q: 3dx 2. S (x+2)√x²+4x+3

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Q: x2 – x dx -1

A: To evaluate the definite integral -1 to 1.

Q: Evaluate this indefinite integral: (√x-(1/2)x+2/√x)dx

A: Consider the provided integral, ∫x-x2+2xdx Solve the above integral. Apply the sum rule of the…

Q: Find the formula for the function represented by the integral.

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Q: Consider the function if x 1 Evaluate the definite integral. 8

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Q: Find the indefinite integral. x + 8x + 1 dx *+ 12x2 + 3x + 2

A: The given integral,∫x2+8x+1x3+12x2+3x+2dx

Q: Evaluate the integral of dx / (x + 2) from -6 to -10

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Q: Find the indefinite integral of f(x) = x^1/3

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Q: Suppose ƒ is an even function with integralEvaluate each integral.

A: Given:           f  is  an even function.    ⇒  f(-x) = f(x)   for all x

Q: Find the indefinite integral of the function: f(x) = 1/(x+2)

A: The given function is  f(x)=1x+2

Q: For each problem, compute the integral as directed. Be sure to show all your work in order to…

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Q: Find the indefinite integral by making the appropriate change in the variable. a) Sx²Vx³ +1 dx 1+4x…

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Q: Find the indefinite integral. x2 + 4x +3 dx x+ 6x2 + 9x +8

A: Given : Indefinite integral ∫x2 + 4x + 3x3 + 6x2 + 9x + 8dx   To find : Solution of given integral…

Q: Evaluate the integral. (Use C for the constant of integration.) x² - 64 dx - +8

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Q: Find the indefinite integral. x² + 4x +3 dx x3 + 6x2 + 9x + 8

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Q: Can you use the log Rule to find the integral below? Explain. (x²-4)3 dx

A: Explained below

Q: Find the indefinite integral.

A: Given integral: ∫x2-2xx3-3x2dx

Q: x²+2x+1 dx (x+2)(x−1)²

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Q: 3x²-2 do 3 2x - 4x

A: Here we will solve the given integral,

Q: Evaluate the indefinite integral of (x+3)/[(x-1)2(x2+2)] dx

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Q: Evaluate the indefinite integral:  x3ln(x2-1)dx

A: Given integral By using the following substitution, we get

Q: Evaluate the definite integrals using the graph of ƒ (x) below. 4- y 2- 2 4 10 12 -2- -4- -6- •4 (a)…

A: Given,

Q: Find the indefinite integral. x² + 4x + 3 dx x3 + 6x2 + 9x + 8

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Q: Evaluate the definite integral. 2 (x – 5)(x – 1) dx

A: Solution:TO find the integral∫02(x-5)(x-1)dxFormula:∫xndx=xn+1n+1+C

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

A: Given integral can be written as

Q: Evaluate the definite integral. 2x+ dx x² +x* +1

A: The given integral is ∫012x3+xx2+x4+1dx. Solve the given integration by integration by substitution…

Q: determine the indefinite integral of the function: x/((7x^2+3)^5)

A: The given function is

Q: (2х-2 dx

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Q: Evaluate the indefinite integral. (Use C for the constant of -4x dx F(x) =

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Q: Find the indefinite integral. x° - 5x xp. 4 X° - 5x dx = 4

A: The given integral is ∫x5-5xx4dx

Q: Evaluate the definite integral. x² - dx x' -1

A: Given,          ∫x2x3-1dx

Q: Find the indefinite integral. x2 + 4x + 3 dx x³ + 6x2 + 9x + 6

A: Here we have to solve integral equation by substitution.

Q: find the complete integral for equation  p2-q+y2-x2=0

A: Answer

Q: Give an example of an improper integral and explain how you would find its value.

A: An improper integral is the limit of a definite integral as an endpoint of the interval(s) of…

Q: x4 – x³ – x – 1 dæ - x3 – x² -

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Q: Find the indefinite integral. x² + 4x + 5 dx x3 + 6x² + 15x + 8

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Q: A water quality control agency estimates that a certain factory discharges pollutants into a river…

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Q: Use any method to evaluate the integral. x'dx 2 X + 16

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Q: Evaluate the indefinite integral. x + 5 dæ x2 + 10x + C

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Q: Evaluate the indefinite integral of (1)/(x^3+x) dx.

A: As per given by the question,  ∫1x3+xdx ⋯⋯⋯⋯⋯1 Now, From partial fraction,…