# ∫x^4/(x^4-16)dx

Aakash
110 Points
6 years ago
$\int \frac{^{x^{4}}}{(x^{4}-1)}$
$\int \frac{^{x^{4}+1-1}}{(x^{4}-1)}$
$\int 1 dx -\int \frac{^{1}}{(x^{4}-1)}dx$
simplify 2nd term by partial fraction method
$\int ( \frac{A}{x-1} +\frac{B}{x+1} + \frac{Cx+D}{x^{2}+1})dx$
$A=\frac{1}{4}$
$B=\frac{-1}{4}$
$C=0$
$D=\frac{-1}{2}$
Now above problem reduce to standard form and Do it yourself