18.9 9.9 2 53,1

Q: Use the graph to find the values of the integrals. ∫ a^b f(x)dx ∫ b^c f(x)dx ∫ a^c f(x)dx ∫ a^c…

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Q: Each of the regions A, B, and C enclosed by the graph of f and the x-axis has area 6. Find the value…

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Q: Suppose that f(x)dx = 6. Find the value of the following definite integrals. Complete parts (a)…

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Q: Evaluate the definite integrals using the graph of f(x) below. (a) (b) (c) [³ f (x) dx = 5 [³ f (x)…

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Q: Find the indefinite integrals: (a) S dx x+1 + C. (b) S da = 23 x2+1 =

A: SOLUTION-

Q: The graph shown below is f(x) = 3 sin x. What is the integral function g(x) that defines the area…

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Q: Among the given choices, which of the following definite integrals have the smallest value? (A x dx…

A: Here we have to find out the smallest value definite  integral

Q: 2 Suppose that f(x)dx = 9. Find the value of the following definite integrals. Complete parts (a)…

A: We have to solve

Q: -1 10 1. f(x) dr = 2. f(x) dx = 3. f(x) dx = 4. f(x) dx =

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Q: The definite integral is equal to [²3x 3xdx Select one: O none of the others O 3 lò O3 lò xdx +3 lit…

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Q: Among the given choices, which of the following definite integrals have the smallest value? 2. A) x…

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Q: Use the graph of f(x) in the figure to find the following integrals. A. f(x) dx = B. If the blue…

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Q: Use substitution to find the indefinite integral. p(p+3)°dp

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Q: 8) S-x+3 x2+x-2 dx

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Q: The graph of f is shown. Evaluate each integral by interpreting it in terms of areas. y= Ax) 2 4 6…

A: Since, value of integral = Area under the graph Hence,  ∫02fxdx=2×1+12×2×3-1=2+2=4

Q: Calculate the definite integral by referring to the figure with the indicated areas. [f(x)dx a Area…

A: topic - definite integral area above the x axis is taken as positive in definite integral when…

Q: Use the following graph to answer the next question. y= f{x} y=g(x) For the graph shown, which…

A: Given graph is

Q: The graph of g consists of two straight lines and a semicircle as shown in the figure. y -20 y =…

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Q: Given the function graphed below, evaluate the definite integrals. 4 3. -1 1 2 3 5 -1 -2 -3 -4 1 |…

A: We have to find the value of the integrals.

Q: Among the given choices, which of the following definite integrals have the smallest value? 3 A x dx…

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Q: Use the following figure, which shows a graph of f(x) to find each of the indicated integrals.…

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Q: Consider the definite integral dx: (x³ + 7)³ This can be transformed into a basic integral by…

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Q: Which of the following definite integrals represents the area of the shaded region? A. S²x² dx B.…

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Q: Using the graph below and the given integrals | f(x) dx = -20, f(x) dx = 20, and f(x) dx = -64, find…

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Q: evaluate the following definite integral: 5 ∫ 4 (5 is the top of the integral, 4 is the bottom of…

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Q: See images below

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Q: Use the definite integrals below, to answer questions 22-23. The functions g(x) and h(x) are…

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

Q: Use the graph of f(x) in the figure to find the following integrals. A (2) da = dx = -3 B. If the…

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Q: The graph of f is shown. Evaluate each integral by interpreting it in terms of areas. y y = f(x) 2 4…

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Q: f(x) = 1 – ; [e-, e] ƒ(x) = sin x; [0, 37/2]

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Q: The area of a circle of radius a can be found by the following integral a. f (a²-x²) dx √a²-x²dx O…

A: Given

Q: Which of the following definite integrals represents the area of the shaded region? A y = 4 –x² 2-…

A: On x axis, the graph ranges from 0 to 2. Considering the area made with the x axis, the area is…

Q: Find the exact value of the definite integral below, using the substitution u = x x (√6+√2) 1+x² -…

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Q: 4 -dx |1-x* 2

A: The given problem is to evaluate the given definite integral with given limits of integration.

Q: (a) Evaluate the following integrals: x² + x – 7 dx x² – x – 6 (i)

A: Given :   ∫x2+x-7x2-x-6dx

Q: 7) Evaluate each of the integrals below by using antiderivatives. b) f, cos.xdx a) sin xdx cosxdx c)…

A: a). b).

Q: Which of the following integrals will find the length of the graph of f(x) = e* for 0 < x < 8. а) О…

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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: 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: QUESTION 10 Use a definite integral to find an expression that represents the area of the region…

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Q: Set up a definite integral that represents the shaded area. O A. f(x) dx Ny 18 | f(x) dx В. 4 C.…

A: Option (d) is correct.   in this graph, function f(x) belong between 0 and 3 then lower limit is 0…

Q: Examples: Evaluate the following integrals: 1) S tan?(3x)dx

A: Given integral is: I=∫tan2(3x) dx Let us assume u=3x du=3dx I=13∫tan2u…

Q: 25 Use the figure below to estimate / f(x)dx. f(x) 4 3 1 10 15 This integral represents the area…

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Q: Consider the graph of f. -1 1 4 6 7 The shaded region over [0, 5] has an area of 114 and f(x)dæ =…

A: The graph of f is given as  The area of the shaded region over [0, 5] is 114 and ∫08 f(x)dx=-84

Q: Evaluate the definite integral 05/dx. Give an exact, completely simplified 0.5_6x² answer. Hint:…

A: Use  substitution method for solving integral.

Q: Determine the following definite integrals: 3 (c) / 12x – x²| dx (a) [a- | (1+ v25 – x²) dx…

A: Evaluate the integrals:

Q: Evaluate the definite integrals

A: Given,

Q: (ii) Find the following indefinite integrals: 1 (a) dx (b) dx 5 - x* xe* ! dx (c)

A: A)I=∫ 1x3+1x3 dxI=∫ x-3 dx + ∫ x-13 dxI=x-3+1-3+1 +x-13+1-13+1 +CI=-12x2+3 x232 +CI=32x23 -12x2+C

Q: In the function given. Evaluate the integrals.

A: Given integral: We have to find 3∫14fxdx We know that ∫14fxdx=8 Therefore, 3∫14fxdx=3×83∫14fxdx=24

Q: Suppose the region on the left in the figure (with blue shading) has area is 33, and the region on…

A: As from the problem ,∫abfxdx=33∫bcfxdx=-11 ∵Area is below x-axis i.e…