When integrating(adsbygoogle = window.adsbygoogle || []).push({}); ffrom a to b, b > a, I understand this is the area under the curve

y = f(x).

How ever say that I am computing the area of a graph where f is both positive and negative in the interval, like in the picture I posted....

Refering to the picture say I was calculating the integral from -3 to 4. From -3 to -2 the area is pos, say equal to 4. from -2 to -1 it is negative say equal to -3. -1 to 3 equal to -50 and from 3 to 4 whose area is say 10.

Then is the area in this interval: 4 - 3 - 50 + 10 = -39 (total area)

or is it 4 -(-3) -(-50) + 10 = + 67 (total area)

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# Homework Help: Integral Question

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