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.

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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