Integral Calculator
This Integral turns the figures for integral into a result you can review. Keep the inputs, units and time period consistent.
Integral
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How to type your function
^ | power, e.g. x^2 is x squared |
* | multiply, e.g. 3*x (write the star) |
/ | divide, e.g. 1/x |
sqrt(x) | square root |
sin(x) cos(x) tan(x) | trigonometric functions (radians) |
e^x or exp(x) | exponential |
ln(x) log(x) | natural log, log base 10 |
pi, e | constants 3.14159..., 2.71828... |
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How it works
Key forms: ∫xⁿ dx = xⁿ⁺¹/(n+1) for n ≠ -1, ∫x⁻¹ dx = ln|x|, ∫sin x dx = -cos x, ∫cos x dx = sin x, ∫eˣ dx = eˣ. Definite integrals use Simpson's rule.How to use the Integral
Enter the requested values and start with one realistic example. Read the result together with its unit or label, then change one input at a time if you want to compare options.
Review the assumptions on the page and confirm any result that affects money, safety, technical work or another important decision.
Frequently Asked Questions
Which integrals can it solve exactly?
Polynomials and standard forms (powers, 1/x, sin, cos, e^x, sqrt) are integrated exactly for the indefinite case. Other forms are handled numerically in definite mode.
How accurate is the definite integral?
It uses Simpson's rule with 1000 intervals, which is very accurate for smooth functions. Sharp spikes or discontinuities can reduce accuracy.
Why no full symbolic integration?
Full symbolic integration needs a computer algebra system running on a server. This tool works entirely in your browser, so it covers the common exact forms and uses accurate numerical methods for the rest.