New Zealand
Level 8 - NCEA Level 3

Area bound by curves (logs)

Interactive practice questions

Consider the function $y=\frac{1}{x+3}$y=1x+3.

a

Graph the function.

b

Find the area bound by the curve, the $x$x-axis, and the lines $x=2$x=2 and $x=4$x=4.

Easy
Approx 4 minutes

Consider the function $y=\frac{1}{2x+5}$y=12x+5.

Consider the function $y=\frac{1}{4-3x}$y=143x.

Consider the function $y=\frac{2}{3x+5}$y=23x+5.

Outcomes

M8-11

Choose and apply a variety of differentiation, integration, and antidifferentiation techniques to functions and relations, using both analytical and numerical methods

91579

Apply integration methods in solving problems