Calculus
Fundamental Theorem of Calculus - Calculus
Learn the fundamental theorem of calculus with examples, step-by-step guide, and calculator tools. Links differentiation and integration
The fundamental theorem of calculus is a fundamental concept in calculus. Links differentiation and integration. This page provides a comprehensive guide with worked examples and practical applications.
The Formula
\[\frac{d}{dx}\left(\int_a^x f(t) dt\right) = f(x)\]
Variables
f(t)
Continuous function
a
Lower limit
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: [] → d/dx(∫₀ˣ t dt) = x
Example 2
Example 2: x
Frequently Asked Questions
What is the fundamental theorem of calculus?
Links differentiation and integration
How do I calculate fundamental theorem of calculus?
Use the formula: \frac{d}{dx}\left(\int_a^x f(t) dt\right) = f(x). Follow the steps provided above.
What tools can help with fundamental theorem of calculus?
We provide online calculators: calculator