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• (가)$\displaystyle \left (\int _ {a} ^ {b} {f (x) dx} \right) ^2 \leq \int _ {a} ^ {b} {\left (f (x) \right) ^2 dx}$
• (나)$\displaystyle \int _ {a} ^ {b} {f (x) dx} \leq \int _ {a} ^ {b} {\left (\frac{f (x) +g (x)} {2} + \frac{\left | f (x) -g (x) \right |} {2} \right) dx}$
• (다)$\displaystyle \left | \int _ {a} ^ {b} {f (x) dx} \right | \leq \int _ {a} ^ {b} {\left | f (x) \right | dx}$