AM-1041

Multiplying and dividing polynomials

A Math · Secondary 4 · Medium · Multiplying and dividing polynomials

The function

f

is given by

f(x) = x^3 - 2x

. Find

\displaystyle \int \frac{f(x)}{x^2+1}\,dx

.

$\dfrac12 x^2 - 2x + 2\arctan x + C$
$\dfrac12 x^2 - \dfrac32\ln(x^2+1) + C$
$x^2 - 2x + 2\arctan x + C$
$\dfrac12 x^2 - x + 2\arctan x + C$

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