What is the integral from 1 to 3 of kx ?

The integral from 1 to 3 of kx is k*4

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integral from 1 to 3 of kx

\int_{1}^{3} k x d x

k \cdot 4

Solution steps

\int_{1}^{3} k x d x

Take the constant out:

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

= k \cdot \int_{1}^{3} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{1}^{3}

= k [\frac{x ^{2}}{2}]_{1}^{3}

Compute the boundaries:

4

= k \cdot 4

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