∫ Free study tool
Integral Calculator
Enter a function and get the antiderivative step by step — with a graph of f(x) and F(x).
Examples:
Handles: powers, sums, constant factors, sin/cos/tan/e^x/ln/√ and linear inner functions (e.g. 2x+1). “+ C” is the constant of integration.
The most important integration rules
- Power rule: ∫xⁿ dx = xⁿ⁺¹/(n+1) (for n ≠ −1)
- Logarithm: ∫1/x dx = ln|x|
- Sum rule: Each term is integrated separately.
- Constant factor: ∫a·f(x) dx = a·∫f(x) dx
- Linear substitution: ∫f(ax+b) dx — divide by a