New Zealand
Level 8 - NCEA Level 3

Area bound by curves and x/y axis, area between two curves (sin/cos)

Interactive practice questions

Find the exact area of the shaded regions bounded by the curve $y=3\cos x$y=3cosx.

Easy
Approx 4 minutes

Find the exact area of the shaded region enclosed by the curve $y=\cos3x$y=cos3x.

Find the exact area of the shaded region enclosed by the curve $y=\sin2x$y=sin2x, the $x$x-axis and the lines $x=\frac{\pi}{4}$x=π4 and $x=\frac{3\pi}{4}$x=3π4.

Find the area bound by the curve $y=\sin x$y=sinx and the $x$x-axis between $x=0$x=0 and $x=\frac{\pi}{2}$x=π2.

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