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Use the Following Property of the Definite Integral to Estimate z/6s/44sinxdx\int _ { z / 6 } ^ { s / 4 } 4 \sin x d x

Question 119

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Use the following property of the definite integral to estimate the definite integral z/6s/44sinxdx\int _ { z / 6 } ^ { s / 4 } 4 \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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