Integral Calculator

Use ^ for powers and the usual function names: sin, cos, tan, ln, log, exp, sqrt. Angles are in radians.
Definite mode only. Constants such as pi and e may be used, e.g. "pi/2".
Definite mode only.
Antiderivative
x^3 / 3 + C
Integral Calculator
Integral
∫ x^2 dx = x^3 / 3 + C
How it was evaluated
exact symbolic antiderivative, verified by differentiation
Verified by differentiating back
yes
Worked out from OpenStax, Calculus Volume 1, chapter 5: Integration (the definite integral, the Fundamental Theorem of Calculus, substitution) and 2 other sources.
The constant of integration C stands for any constant; every antiderivative differs by one.

How this is worked out

3 steps
  1. Integrand: f(x) = x^2
  2. Antiderivative: F(x) = x^3 / 3
  3. Check by differentiating back: d/dx [F(x)] = x^2, which is the integrand.

Results are general information, not financial, tax, legal, medical or engineering advice.