How to Calculate Integral
What is Integral?
Integration calculates area under curve: ∫f(x)dx = F(x) + C where F is antiderivative; inverse of differentiation.
Step-by-Step Guide
- 1Input function and limits (definite) or just function (indefinite)
- 2Apply integration rules: power rule, u-substitution, parts
- 3Results show antiderivative or area
Worked Examples
Input
∫(x² + 3x) dx from 0 to 2
Result
Area = [x³/3 + 3x²/2] evaluated = 8/3 + 6 = 26/3
Common Mistakes to Avoid
- ✕Forgetting constant of integration
- ✕Mis-applying u-substitution
Frequently Asked Questions
What does integration represent?
Area under curve; accumulation of quantities; inverse of differentiation.
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