Calculus
Definite Integral - Calculus
Learn the definite integral with examples, step-by-step guide, and calculator tools. Calculate area under curve between limits
The definite integral is a fundamental concept in calculus. Calculate area under curve between limits. This page provides a comprehensive guide with worked examples and practical applications.
The Formula
\[\int_a^b f(x) dx = F(b) - F(a)\]
Variables
F(x)
Antiderivative of f(x)
a, b
Integration limits
Step-by-Step Guide
- 1
Step 1: Gather your data values
- 2
Step 2: Apply the formula
- 3
Step 3: Perform the calculations
- 4
Step 4: Interpret the result
Examples
Example 1
Example 1: [] → ∫₀² x dx = [x²/2]₀² = 2 - 0 = 2
Example 2
Example 2: 2
Frequently Asked Questions
What is the definite integral?
Calculate area under curve between limits
How do I calculate definite integral?
Use the formula: \int_a^b f(x) dx = F(b) - F(a). Follow the steps provided above.
What tools can help with definite integral?
We provide online calculators: calculator