Find the Area bounded by the graph ACT SAT Math Question

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This is questions is not too bad as long as you use your imagination.
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This is clearly a suboptimal solution. Integrating every function in the graph is much more ideal.

masscantbecreatedordestroy
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You can just do the area of the small triangle + the area of the trapezoid to save time. h(b1+b2)/2

rayyanbousaleh
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nice

I usually also introduce the shoelace formula in addition to this split method.

mryip
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This method is much faster than using calculus to find the integral and you would have to also determine the equations of the lines.

moeberry