Finding the Area Under a Curve (VCE SSCE Mathematical Methods): Quizzes

The net signed area under a curve

The sign of $f(x)$ in your interval

$A = \int_a^b f(x) \, dx$

$A = -\int_a^b f(x) \, dx$

The integral gives negative but area is +

Split the integral at the crossing point

No, area must always be positive

$A = \int_b^a f(x) \, dx$

$\int_c^b f(x)dx + (-\int_a^c f(x)dx)$

Use geometric formulas like trapezium