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Use the Following Property of the Definite Integral to Estimate x/6x/46sinxdx\int _ { x / 6 } ^ { x / 4 } 6 \sin x d x

Question 104

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Use the following property of the definite integral to estimate the definite integral x/6x/46sinxdx\int _ { x / 6 } ^ { x / 4 } 6 \sin x d x :
If mf(x)Mm \leq f ( x ) \leq M on [a,b][ a , b ] , then
m(ba)abf(x)dxM(ba)m ( b - a ) \leq \int _ { a } ^ { b } f ( x ) d x \leq M ( b - a )

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