What is the integral from 0 to 2 of cx ?

The integral from 0 to 2 of cx is c*2

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integral from 0 to 2 of cx

\int_{0}^{2} c x d x

c \cdot 2

Solution steps

\int_{0}^{2} c x d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= c \cdot \int_{0}^{2} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{0}^{2}

= c [\frac{x ^{2}}{2}]_{0}^{2}

Compute the boundaries:

2

= c \cdot 2

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