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Mathematics 8 Online
OpenStudy (roadjester):

Does anyone know how to prove this mathematically?

OpenStudy (roadjester):

OpenStudy (anonymous):

i don't see why Tn should be smaller.

OpenStudy (roadjester):

It's concave down so the area approximated by trapezoids would be smaller than the actual area which in turn would be smaller than the area approximated by the midpoint rule.

OpenStudy (anonymous):

Oo never mind my bad

OpenStudy (roadjester):

f''(x)<0 MEANS concave down

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