Integration Calculator
Compute definite integrals numerically and see simple symbolic antiderivatives when available.
About integration
Integration is the inverse process of differentiation and is used to compute areas, accumulated quantities and solutions to many physics problems. Definite integrals compute net area between a function and the x-axis over an interval; indefinite integrals return families of antiderivatives. Common integration techniques include substitution, integration by parts, partial fractions, and special integrals for trigonometric and exponential functions. Numerical methods (Simpson's rule, trapezoidal rule) are useful when symbolic integration is difficult or the antiderivative is not elementary.
Try simple power functions like x^2 to see symbolic antiderivatives. For arbitrary functions the numerical result is accurate for smooth functions and moderate intervals; for oscillatory functions increase the Simpson subdivisions or use adaptive methods. I can add symbolic CAS support (mathjs) in the next step if you want exact antiderivatives.