Integral Approximation - Simpson's Rule Practice Problems Online

Using Simpson's rule, approximate $\displaystyle{\int_0^1(5x^2+1)dx}.$

What is the error when approximating $\displaystyle{\int_0^{6}(6x^2+2x-3)dx}$ using Simpson's rule?

Approximate $\displaystyle{\int_{0}^{6}(x^3-x^2-7x-11)dx}$ using Simpson's rule.

Sam and Lisa are approximating the definite integral $\displaystyle{\int_0^{4}(3x^2+2x+1)dx}.$ Sam used the right Riemann sum with $4$ intervals, and Lisa used Simpson's rule. If Sam's approximation is $S$ and Lisa's approximation is $L,$ what is $S-L?$

Given only the following three values of the function $f$ : $f(0)=18, f(50)=14, f(100)=-5,$ approximate the integral $\displaystyle{\int_0^{100}f(x)dx}$ using Simpson's rule.

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Integral Approximation - Simpson's Rule

Numerical Approximation of Integrals

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Integral Approximation - Simpson's Rule