Polynomial integral

The calculator integrates a univariate polynomial and calculates an integration constant by a point.

This page exists due to the efforts of the following people:

Anton

Created: 2021-09-02 08:25:37, Last updated: 2021-09-02 08:25:37
Creative Commons Attribution/Share-Alike License 3.0 (Unported)

This content is licensed under Creative Commons Attribution/Share-Alike License 3.0 (Unported). That means you may freely redistribute or modify this content under the same license conditions and must attribute the original author by placing a hyperlink from your site to this work https://planetcalc.com/9479/. Also, please do not modify any references to the original work (if any) contained in this content.

This calculator integrates a polynomial function. In addition, it calculates the integration constant if you provide a point lying on the graph of the result function.

PLANETCALC, Polynomial integral

Polynomial integral

The polynomial coefficients, space separated, in order from higher term degree to lower
Calculate the integration constant by the point
Input polynomial
 
Result
 



An indefinite integral of a polynomial function defined by the coefficients a0 .. an, can be calculated by the formula below:
I(x) = \int{\sum_{i=0}^n{a_i x^i}}=\sum_{k=1}^{n+1}{\frac{a_{k-1} x^k}{k}}+C
If you know point coordinates (x0,y0) , belonging to the result function graph, you can calculate the integration constant С in the following way:
C = y_0-\left(\sum_{k=1}^{n+1}{\frac{a_{k-1} x_0^k}{k}}\right)

URL copied to clipboard
PLANETCALC, Polynomial integral

Comments