Simpson’s Rule Calculator

SOLUTION

Your input: approximate the integral 101x5+7−−−−−√3 dx∫011×5+73 dx using n=4n=4 rectangles.

simpson rule example

simpson rule

  

Now, we just evaluate the function at these endpoints:

f(x0)=f(a)=f(0)=7237=0.52275795857471

f(x0)=f(a)=f(0)=7237=0.52275795857471

 

4f(x1)=4f(14)=3271692–√3(7169)23=2.09093460413808

4f(x1)=4f(14)=32716923(7169)23=2.09093460413808

 

2f(x2)=2f(12)=41515−−√3223=1.0439647043117

2f(x2)=2f(12)=415153223=1.0439647043117

 

4f(x3)=4f(34)=3274112–√3(7411)23=2.06792304223835

4f(x3)=4f(34)=32741123(7411)23=2.06792304223835

 

f(x4)=f(b)=f(1)=12=0.5

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One thought on “Simpson’s Rule Calculator

  • 14/07/2019 at 10:18 am
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    Hey there! I could have sworn I’ve been to this blog before but after reading through some of the post I realized it’s new to me. Nonetheless, I’m definitely glad I found it and I’ll be bookmarking and checking back often!

    Reply

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