How the Integral Calculator Works

Our Integral Calculator uses advanced symbolic math algorithms to solve calculus problems directly in your browser. It parses your input function, applies integration rules (Power Rule, Substitution, Integration by Parts, etc.), and simplifies the result. Whether you're a student checking homework or a professional needing quick solutions, this tool provides instant answers.

Integral Calculator Interface showing a solved integral problem

Definite Integrals

A definite integral calculates the area under a curve between two points, $a$ and $b$. It represents the accumulation of quantities, such as distance traveled given velocity over time. Select the "Definite" mode in the calculator to compute $\int_a^b f(x) dx$.

Indefinite Integrals

An indefinite integral, also known as an antiderivative, finds the general function $F(x)$ whose derivative is $f(x)$. The result always includes a constant of integration, denoted as $+ C$. Use the "Indefinite" mode to find $\int f(x) dx$.

Frequently Asked Questions

Can it solve complex integrals?

Yes, the calculator supports trigonometric functions (sin, cos, tan), exponentials ($e^x$), logarithms (ln), and inverse functions.

Is this calculator free?

Absolutely. This tool is 100% free to use for all your calculus needs.

How do I enter square roots?

You can use the sqrt() function or the convenient buttons on the virtual keypad.