Simpson's Rule

3 Activities

Using the Simpson's rule with n=4n=4n=4, find the integral approximation of

 ∫04x2dx\displaystyle \int_0^4 x^2 dx∫04​x2dx.

Answer

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Using the Simpson's rule with n=4n=4n=4, find the integral approximation of
 ∫04x2dx\displaystyle \int_0^4 x^2 dx∫04​x2dx.

Practice: Simpson's Rule
Using the Simpson's rule with n=6n=6n=6, find the integral approximation of
 ∫062xdx\displaystyle \int_0^6 2^x dx∫06​2xdx.

Practice: Simpson's Rule
Using the Simpson's rule with n=4n=4n=4, find the integral approximation of
 ∫04x2dx\displaystyle \int_0^4 x^2 dx∫04​x2dx.

Approximate the following using a Simpson's Rule approximation with 6 subintervals. 
∫0πsin⁡xdx\int_0^{\pi}\sin xdx∫0π​sinxdx