For f(x) = x^3/(x+1) from x =1 to x=5 Find the actual area under the curve....

For f(x) = x^3/(x+1) from x =1 to x=5

Find the actual area under the curve. (hint, let u = (x+1)

Estimate the area under the curve using the trapezoidal rule for n=4 and n=8

Estimate the area under the curve using Simpson’s rule for n=4 and n=8

Find the value of n such that the trapezoidal rule will approximate the error od ∫_1^5▒〖x^3/(x+1) 〗dx to an error less than or equal to .001

Expert Solution

Colby Messinger answered 2 years ago

(a) Estimate the area under the graph of f(x) = 3 + 4x2 from x =...

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(a) Estimate the area under the graph of f(x) = 3 + 4x2 from x =...

(a) Estimate the area under the graph of f(x) = 3 + 4x2 from x = −1 to x = 2 using three rectangles and right endpoints. R3 = Then improve your estimate by using six rectangles. R6 = Sketch the curve and the approximating rectangles for R3. Sketch the curve and the approximating rectangles for R6. (b) Repeat part (a) using left endpoints. L3 = L6 = Sketch the curve and the approximating rectangles for L3. Sketch the curve...

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Question

For f(x) = x^3/(x+1) from x =1 to x=5 Find the actual area under the curve....

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Expert Solution

Related Solutions

(a) Estimate the area under the graph of f(x) = 3 + 4x2 from x =...

(a) Estimate the area under the graph of f(x) = 3 + 4x2 from x =...

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