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Activity 4.4.2. Use the Fundamental Theorem of Calculus to evaluate each of the following integrals exactly. For each, sketch a graph of the integrand on the relevant interval and write one sentence that explains the meaning of the value of the integral in terms of the (net signed) area bounded by the curve_

a_

541(2 – 2x) dx C J6 e” dz e J6 (3×3 2×2

b Jo” sin(2) dx d_ f-1 25 dx

dx

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03:20

5.2.2 Evaluate Definite Integral Using Basic Area Formulas 2. The graph of f is shown: Evaluate each integral by interpreting it in terms of areas (a) J8 g(x) dx (b) Jz g(x) dx (c) Jj g(x) dx”=Gu)

05:35

(5 points) Evaluate tha integrals for f(x) shown in the figure below The two parts of the graph are semicircles.JG sf(x)dx b) J6 2f(x)dx = 3pic) [1A 2f(x)dx 3pi/2fS |Sf(x) dx = 45pi/4

05:27

Calc2

01:30

Evaluate the integrals for f(x) shown in the figure below: The two parts of the graph are semicircles:a) âˆ«(4âˆš6) dx2Ï€b) âˆ«(6âˆš3x) dx = (9Ï€y^2)c) âˆ«(4âˆš2x) dx = 3Ï€d) âˆ«(6 |2âˆš6x) dx(45Ï€)/4

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