Integral Calculator
indefinite, definite, double, triple & line integrals
Solve any integral with the complete step-by-step method shown — indefinite integrals, definite integrals, improper integrals, double integrals, triple integrals and line integrals. Built for TN Board, CBSE, JEE and NEET students — free and unlimited.
Enter your integral to solve
^ for powers, * for multiplication. Supported functions: sin, cos, tan, exp, ln, log, sqrt, abs. Example: 3x^2 + sin(x) - 2.
Free Online Integral Calculator with Steps
This free integral calculator solves indefinite integrals, definite integrals, improper integrals, double integrals, triple integrals and line integrals — with the complete step-by-step method shown every time, not just the final answer. It's built for Class 12, JEE and NEET students who need to verify their working or learn the correct method under exam conditions.
For polynomial functions, the indefinite integral calculator applies the exact power rule term by term. For trigonometric, exponential and logarithmic functions, and for every definite integral calculator and improper integral calculator result, the tool uses Simpson's Rule — a numerical method that is extremely accurate and shows its sample points and formula so you can follow the same approach in an exam or verify hand-calculated working.
The double integral calculator and triple integral calculator modes evaluate f(x,y) and f(x,y,z) over a rectangular region or box by nesting Simpson's Rule in each direction, while the line integral calculator mode integrates a scalar field along a parametrized curve x(t), y(t) using arc-length weighting.
If you're stuck on why a method works, or want the explanation in Tamil, StudyHelpAI's free AI Maths tutor breaks down integration concepts step by step in English or Tamil.
← Back to Maths Homework HelpIntegral Calculator — Questions Answered
Yes — every mode (indefinite, definite, improper, double, triple and line integrals) is completely free, with no sign-up, no daily limit and no ads. It runs entirely in your browser, so results are instant.
Yes. Every result includes a step-by-step solution — the power rule applied term by term for polynomials, or the Simpson's Rule working (interval width, sample points, formula) for functions like sin(x), eˣ or ln(x).
An indefinite integral calculator finds the general antiderivative of a function, written with a "+ C". A definite integral calculator finds the exact area under the curve between two given limits, a and b, and returns a single number.
Yes — enter "inf" or "-inf" as a limit in Definite mode and it switches to Improper handling automatically, approximating the limit with a very large finite bound and showing whether the integral appears to converge.
For a rectangular region or box, it nests Simpson's Rule in each direction — integrating over y (and z) for many fixed x values, then integrating those results over x — which numerically evaluates the double or triple integral.
It computes the line integral of a scalar field f(x,y) along a curve given in parametric form x(t), y(t), using the arc-length formula ∫f(x(t),y(t))·|r'(t)|dt evaluated numerically over your chosen range of t.
Use ^ for powers and * for multiplication. Supported functions are sin, cos, tan, exp (eˣ), ln, log, sqrt and abs — for example 3x^2 + sin(x) - 2 or exp(x)*cos(x).