Simpson's Rule Calculator

O(h⁴) integration

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f(x)

n (even)

Simpson's

0.3333333333

Exact

0.3333333333

Error

0.0000e+0

Weighted Terms (h/3 × Σ)

i=0x=0.000w=1wf=0.0000

i=1x=0.100w=4wf=0.0400

i=2x=0.200w=2wf=0.0800

i=3x=0.300w=4wf=0.3600

i=4x=0.400w=2wf=0.3200

i=5x=0.500w=4wf=1.0000

i=6x=0.600w=2wf=0.7200

i=7x=0.700w=4wf=1.9600

i=8x=0.800w=2wf=1.2800

i=9x=0.900w=4wf=3.2400

i=10x=1.000w=1wf=1.0000

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About Simpson's Rule Calculator

A Simpson's rule calculator for numerical integration. Uses Simpson's 1/3 rule: ∫f dx ≈ (Δx/3)[f₀+4f₁+2f₂+4f₃+...+fₙ]. Converges at O(h⁴), much faster than trapezoidal. Shows step-by-step weights and contributions. Select from preset functions. All calculations are client-side.

Simpson's Rule Calculator Features

Simpson's 1/3
Step weights
Error bound
Preset funcs
Comparison

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