Further Applications of Integration (HSC SSCE Mathematics Advanced): Flashcards

$\log_e|x| + C$

$\int_a^b$ (top curve - bottom curve) $dx$

$x$-coordinates of intersection points

Subtract bottom curve from top curve

$0$

$k\log_e|x| + C$

Both coordinate axes

To ensure function defined for all non-zero values

Find intersection points

Exact form (with logs) and decimal approximation