Area Between Two Curves (Leaving Cert Mathematics): Flashcards

Find area under upper curve, subtract area under lower curve

Integrate the difference $\int [f(x)-g(x)]dx$

$\frac{1}{12}$

$\frac{1}{3}x^3 + C$

$\frac{1}{4}x^4 + C$

$-x^{-1} + C$

$\frac{16}{3}$

Set equations equal and solve for $x$, then find $y$

Either - subtract integrals OR integrate the difference

The one with greater $y$-values in the interval