Consider the function of that is continuous on the interval [-5, 5] and for which ſo f(x) dx = 4. Evaluate each integral. a. [f(x) + 2]dx b. f³₂f(x+2)dx

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A: Area under the curve over the given interval:3, 6Area: ∫abf(x) dxA =∫36 (8ex-x) dx   =8ex -x2236…

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A: Use derivative for finding the taylor polynomial.

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A: Solving

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A: Find Taylor series.

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A: ∫xndx=xn+1n+1+C ∫1dx=x+c

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A: We have to perform the given operation.

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A: We can find the answer the as below.

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A: To use the linear approximation to estimate cos(60.5°)