What is the integral from 0 to 2 of 7x ?

The integral from 0 to 2 of 7x is 14

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integral from 0 to 2 of 7x

\int_{0}^{2} 7 x d x

14

Solution steps

\int_{0}^{2} 7 x d x

Take the constant out:

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

= 7 \cdot \int_{0}^{2} x d x

Apply the Power Rule

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

= 7 [\frac{x ^{2}}{2}]_{0}^{2}

Compute the boundaries:

2

= 7 \cdot 2

Simplify

= 14

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