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CalculusMediumIntegration and the Fundamental Theorem

Integration and the Fundamental Theorem · Medium problem

Suppose ∫14f(x) dx=4\displaystyle\int_{1}^{4} f(x)\,dx = 4 and ∫49f(x) dx=(−6)\displaystyle\int_{4}^{9} f(x)\,dx = (-6). Find ∫19f(x) dx\displaystyle\int_{1}^{9} f(x)\,dx.