Question

In: Advanced Math

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

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