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The integral of a given function between given integration limits will always be a constant. The integral of a given function between variable limits - for example, from 0 to x - can only be a constant if the function is equal to zero everywhere.

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8y ago
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7y ago

There are infinitely many possibilities which depend on the value of the constant and the constraints and also on whether the required function is linear of not.

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Q: How can I generate a declining function with constraints on the x and y intercepts so that the integral of the curve is constant?
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