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

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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 rulefor n=4 and n=8

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

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

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