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0.75

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Horace Hill

Lvl 10
βˆ™ 3y ago
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βˆ™ 7y ago

Since an integral is the area under a curve, it is easy to see that the integral of 1 (i.e., the constant function whose value is always 1), from 0 to 0.75, is equal to 0.75. Of course, you can also come up with more complicated curves that have the same value under the curve, within a certain range. What's more, in just about any "well-behaved" function you can find an interval so that the area underneath the curve is equal to any value you want. That would even include functions which are always negative - just switch the integration limits in this case.

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βˆ™ 7y ago

There are many possible answers. One such is the integral, from 0 to fourth root of 3, of the function x-cubed.

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