The graph of f is shown. Evaluate each integral by interpreting it in terms of areas. y y = f(x) 4 X 4 8 12 16 (a) f(x) dx 16 10 (b) f(x) dx Jo |40 '14 (c) f(x) dx -12 ▪18 (d) f(x) dx 48

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Q: The graph of f is shown. y y = f(x) 8 8 16 24 32 Evaluate each integral by interpreting it in terms…

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Q: (а) In each part, evaluate the integral, given that f(x) = 2, | 2х, х 1 (a) f(x) dx (b) f(x) dx 10…

A: Given,f(x)=2x when x≤1f(x)=2 when x>1a)∫01f(x)dx=∫012xdx;                       (here limit of…

Q: The graph of f is shown. Evaluate each integral by interpreting it in terms of areas. У y= f(x) 10 х…

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Q: 1. The graph of f is shown. Evaluate each integral by interpreting it in terms of areas. dx (3)…

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Q: The graph of f is shown. y = flx) 4 8. 12 16 Evaluate each integral by interpreting it in terms of…

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Q: The graph off is shown. Evaluate each integral by interpreting it in terms of areas. y y = f(x) 6 12…

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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

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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) 12…

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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: Evaluate the integral. inegral  1 / (x+a)(x+b) dx

A: 1x+ax+b=Ax+a+bx+b   →1 On simplification, we get ⇒1x+ax+b=Ax+b+Bx+ax+ax+b⇒1=Ax+b+Bx+aNow when x=-a,…

Q: The graph of f is shown. Evaluate each integral by interpreting it in terms of areas. y y = fx) 8.…

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Q: The graph off is shown. Evaluate each integral by interpreting it in terms of areas. У yf(x) х 0 18…

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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: The graph of f is shown. Evaluate each integral by interpreting it in terms of areas. y y = f\x) 10…

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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 X…

A: As we know that the definite integral is given that the area under the curve.   a) ∫02fxdx=Area of…

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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) 16…

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Q: Which of the tollowing integrals gives the ength of the graph y=18 between X= a and a. a 1X2+X dx b.…

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A: ∫06 fxdx=36 ∫015 fxdx=90 The first two answers are correct

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Q: Evaluate the integral by naking the given substitution. Use C for the constant of integration) a* dx…

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Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) x2…

A: Let u=x^3 + 15 find du/dx and substitute in the integral.

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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