Category:Definite Integral of Constant Multiple of Real Function

This category contains pages concerning Definite Integral of Constant Multiple of Real Function:

Let $f$ be a real function which is integrable on the closed interval $\closedint a b$.

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Let $c \in \R$ be a real number.

Then:

$\ds \int_a^b c \map f x \rd x = c \int_a^b \map f x \rd x$