NZ Level 8 (NZC) Level 3 (NCEA) [In development]
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Areas between a Curve and the X-Axis

Interactive practice questions

Consider the function $y=2x+3$y=2x+3.

a

Plot the function.

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b

Calculate the exact area bounded by the curve $y=2x+3$y=2x+3, $x=1$x=1, $x=3$x=3 and the $x$x-axis.

Easy
Approx 3 minutes
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Consider the function $y=-2x+8$y=2x+8.

Find the exact area of the shaded region.

The equation of the line is $x+y=3$x+y=3.

Find the exact area of the shaded region under the curve $y=6x^2$y=6x2.

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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