Integral Calculator
Calculate the definite integral of a function using numerical approximation.
$$ \int_{a}^{b} f(x) \, dx $$
Supported: +, -, *, /, ^, sin, cos, tan, log, sqrt, abs, exp. Use 'x' variable.
What is a Definite Integral?
A definite integral represents the signed area of the region in the xy-plane bounded by the graph of a function f(x), the x-axis, and the vertical lines x = a and x = b.
Notation: ∫ab f(x) dx
How this Calculator Works
This tool uses Simpson's Rule, a numerical method for approximating integrals. It fits a series of quadratic parabolas to the function curve to calculate the area with high accuracy for smooth functions.
Input syntax tips:
- Use
*for multiplication (e.g.2*xnot2x). - Use
^for powers (e.g.x^2). - Trig functions assume Radians.
- Standard order of operations applies.