Integration By Parts Calculator
Compute the integral of a product of two functions using the integration by parts formula: ∫u dv = uv - ∫v du. Enter u and dv to get the result.
Published by:
isCalculator Editorial Team
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How to use this tool?
How to Use the Integration By Parts Calculator
This calculator applies the formula: ∫ u dv = uv - ∫ v du. Follow these steps:
- Enter u(x) – the function you want to differentiate (e.g.,
x). - Enter dv – the function you want to integrate (e.g.,
e^x). - Enter v – the antiderivative of dv (e.g.,
e^x). - Enter du – the derivative of u (e.g.,
1). - Click Calculate.
Output: The result shows the expression u*v - ∫(v)*(du) dx and a step-by-step breakdown. All inputs must be filled; use standard mathematical notation (e.g., x^2 for x², sin(x) for sine). No special formatting is required.
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Frequently Asked Questions
Integration by parts is a technique to integrate the product of two functions. The formula is ∫ u dv = uv - ∫ v du.
Enter the function u (to differentiate), dv (to integrate), v (antiderivative of dv), and du (derivative of u). Then click Calculate.
You need to compute v = ∫ dv and du = u' dx before using the calculator. This tool assumes you have those values.
