NZ Level 8 (NZC) Level 3 (NCEA) [In development]
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Area bound by curves (logs)

Interactive practice questions

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

a

Graph the function.

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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
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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

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