Integral of 1/(1+x^4) using partial fraction decomposition, determine all antiderivatives, DIFFIC...
Gottfried Wilhelm Leibniz initially believed that the function 1/(1+x^4) didn't have a partial fraction decomposition in the real number. Today, however, we know that it must! In this video, we'll explore the real partial fraction decomposition and how to use it to determine the antiderivatives of this rational function!
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Contents:
0:00 Introduction
0:32 Factoring Denominators (in Reals)
7:36 Partial Fraction Decomposition
17:50 Integration with ln and Arctan