Calculus

Integral Calculator

Enter any function of x to get its symbolic antiderivative. The calculator combines linearity, the power rule, a table of standard antiderivatives, linear u-substitution and integration by parts. Provide both limits a and b to also evaluate the definite integral.

Integral Calculator

Symbolic antiderivative — indefinite or definite — with full working.

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Frequently asked questions

Which integration techniques does it use?

Linearity (constant multiple + sum), reverse power rule, a standard antiderivative table (sin, cos, exp, ln, …), linear u-substitution and integration by parts for the common patterns.

What if it can't find an antiderivative?

Many integrals have no elementary closed form, or require techniques (general u-sub, partial fractions, trig substitution) beyond the rules implemented here. Use the Definite Integral tool for a numeric answer.

How do I get a definite integral?

Fill in both the lower limit a and the upper limit b. Leave them blank for the indefinite antiderivative + C.