Step-by-Step Integral Calculator
A step-by-step integral calculator helps students and professionals solve complex integration problems while showing intermediate steps. It aids in understanding solution methodologies, verifying manual calculations, and learning different integration techniques through practical examples.
Install Calculator
Integration Formula
The basic power rule for integration: ∫x^n dx = (x^(n+1))/(n+1) + C (where n ≠ -1). Advanced integrals use techniques like substitution: ∫f(g(x))g'(x)dx = ∫f(u)du.
How to Use
Enter your function using standard mathematical notation (e.g., 3x^2 + sin(x)). Specify the integration variable (default is x). Click Calculate to see the step-by-step solution. Use the Clear button to reset inputs and results.
Derivation Process
1. Parse input function using algebraic parsing
2. Apply integration rules (power, trigonometric, exponential)
3. Use substitution methods when needed
4. Simplify intermediate expressions
5. Apply constant of integration
6. Verify through differentiation
Common Integrals
| Function | Integral |
|---|---|
| x^n | x^(n+1)/(n+1) |
| sin(x) | -cos(x) |
| e^x | e^x |
| 1/x | ln|x| |