Integral Calculator
Type a function. You get its indefinite integral and the rule used on every term.
Example — Integral of x^2x^3/3 + C
How we got it — the example, step by step
- Use the power rule in reverse: raise the power by 1 → x^3.
- Divide by the new power: x^3/3.
- Add C, the constant of integration — it stands for any constant that could have been there.
Check it backwards
Differentiate the answer: d/dx of x^3/3 is x^2 — the function you started with.
Questions people also ask
Which integrals can it do?
Polynomials term by term, plus sin(x), cos(x), e^x, a^x, log(x) and simple fractions like 3/x. Products such as x·sin(x) are not in yet, and the calculator says so instead of guessing.
Why is there a + C?
Because the derivative of any constant is 0, an indefinite integral is only determined up to a constant. The + C records that honestly.