Calculus
Integration by Parts - Calculus
Learn the integration by parts with examples, step-by-step guide, and calculator tools. Method for integrating products
The integration by parts is a fundamental concept in calculus. Method for integrating products. This page provides a comprehensive guide with worked examples and practical applications.
The Formula
\[\int u dv = uv - \int v du\]
Variables
u, v
Functions
du, dv
Differentials
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: [] → ∫ x·eˣ dx = x·eˣ - ∫ eˣ dx = x·eˣ - eˣ + C
Example 2
Example 2: x·eˣ - eˣ + C
Frequently Asked Questions
What is the integration by parts?
Method for integrating products
How do I calculate integration by parts?
Use the formula: \int u dv = uv - \int v du. Follow the steps provided above.
What tools can help with integration by parts?
We provide online calculators: calculator