What is the Integral Calculator?
Compute symbolic indefinite integrals of common functions with step-by-step integration rules. Enter expressions like x^3 + 2x^2 - 5x + 1, sin(x), cos(2x), exp(x), or 1/x. The calculator applies sum, power, constant multiple, and substitution rules for sin, cos, exp, and sqrt. Every result includes the constant of integration (+ C). Free, private, and instant in your browser.
How to use the Integral Calculator
- Enter a function of your variable (e.g. x^3 + 2*x^2 - 5*x + 1).
- Set the variable letter if it is not x.
- Read the antiderivative with + C and the integration steps.
- Copy the result for homework or notes.
Common use cases
- Finding antiderivatives of polynomials for calculus homework
- Integrating sin(x) or cos(2x) with substitution
- Checking ∫ 1/x dx = ln|x| + C
Frequently asked questions
- Does the result include + C?
- Yes. All indefinite integrals include the constant of integration C.
- What integrals are supported?
- Polynomials, sin, cos, exp, sqrt(x), 1/x, constant multiples, and sums of these. Trig arguments must be linear (e.g. sin(2x + 1)).
- Can it compute definite integrals?
- Not yet — this tool finds antiderivatives only. Evaluate at bounds manually or use numeric tools.
- Why does x*sin(x) fail?
- Products of two functions require integration by parts, which is not supported yet. Try constant multiples like 5*x^2.
