# Integrating a Quadratic Divided by the Square Root of a Quadratic

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram CDF Player or other Wolfram Language products.

Requires a Wolfram Notebook System

Edit on desktop, mobile and cloud with any Wolfram Language product.

This Demonstration shows the calculation of the indefinite integral . Such an integral is equal to . The coefficients , , and are found by differentiating the equality, getting rid of the denominator, and comparing the coefficients of equal powers of on the left and on the right.

Contributed by: Izidor Hafner (April 2014)
Open content licensed under CC BY-NC-SA

## Details

The algebraic part can be separated from the integral by the formula

,

where . The coefficients are found by differentiating the equality and getting rid of the denominator by comparing the coefficients of equal powers of on the left and on the right.

Reference

[1] V. P. Minorsky, Problems in Higher Mathematics, Moscow: Mir Publishers, 1975 pp. 188–189.

## Permanent Citation

Izidor Hafner

 Feedback (field required) Email (field required) Name Occupation Organization Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback. Send