What is the integral from 0 to 0.1 of kx ?

The integral from 0 to 0.1 of kx is k*0.005

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integral from 0 to 0.1 of kx

\int_{0}^{0.1} k x d x

k \cdot 0.005

Solution steps

\int_{0}^{0.1} 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_{0}^{0.1} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{0}^{0.1}

= k [\frac{x ^{2}}{2}]_{0}^{0.1}

Simplify

= k [0.5 x^{2}]_{0}^{0.1}

Compute the boundaries:

0.005

= k \cdot 0.005

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What is the integral from 0 to 0.1 of kx ?
The integral from 0 to 0.1 of kx is k*0.005