Trapezoidal Data Integration Calculator
Approximate an integral from ordered x-and-y observations, including unequal spacing.
Your result
MATHEnter your values and select calculate.
On this page How it works & practical examples
How to use the Trapezoidal Data Integration Calculator
Enter x in strictly increasing order and retain the associated y values. The method treats each adjacent segment as a straight line and preserves signed areas.
The calculation
Worked example
Samples (0,0),(1,1),(2,4) give trapezoidal integral 3 over x=0 to x=2.
Assumptions and limits
At least two samples are needed. No interpolation beyond endpoints or error bound is supplied; curved functions can differ from their piecewise-linear approximation.
Common questions
Which inputs should I use?
Enter x in strictly increasing order and retain the associated y values. The method treats each adjacent segment as a straight line and preserves signed areas.
What does the result exclude?
At least two samples are needed. No interpolation beyond endpoints or error bound is supplied; curved functions can differ from their piecewise-linear approximation.