Simpson’s rule · integral of sin(x)
Calculate simpson’s rule · integral of sin(x) and see the working behind your result.
Inputs
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Formula & explanation
S = h/3 [f₀+fₙ+4Σf_odd+2Σf_even], f(x)=sin(x)
Variables & units
- Lower bound · radians
- Numeric value · minimum -100, maximum 100
- Upper bound · radians
- Numeric value · minimum -100, maximum 100
- Even number of intervals
- Numeric value · minimum 2, maximum 100
Worked example
On [0,π] with 12 intervals, the approximation is 2.000052624341.
Assumptions
Numerical approximation for sin(x) only, with angles in radians. Displayed rows are rounded; computation retains unrounded values.
Formula version 1.0.0. JavaScript floating-point arithmetic applies. Results display up to 6 decimal places; stored values retain available precision. Use the units shown.
Practice with an example
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