Integrate given 3 different integrals – math.stackexchange.com

Say I have some integrals: $$\int_0^1f(x)\ dx=3$$ $$\int_0^4f(x)\ dx=-5$$ $$\int_3^4f(x)\ dx=1$$ How exactly do I go about evaluating the integral for: $$\int_1^3f(x)\ dx$$ My idea is I must take ...

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