What is the integral from 0.4 to 5.2 of kx^2 ?

The integral from 0.4 to 5.2 of kx^2 is k*46.848

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integral from 0.4 to 5.2 of kx^2

\int_{0.4}^{5.2} k x^{2} d x

k \cdot 46.848

Solution steps

\int_{0.4}^{5.2} k x^{2} d x

Take the constant out:

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

= k \cdot \int_{0.4}^{5.2} x^{2} d x

Apply the Power Rule

: [\frac{x ^{3}}{3}]_{0.4}^{5.2}

= k [\frac{x ^{3}}{3}]_{0.4}^{5.2}

Simplify

= k [0.33333 \dots x^{3}]_{0.4}^{5.2}

Compute the boundaries:

46.848

= k \cdot 46.848

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What is the integral from 0.4 to 5.2 of kx^2 ?
The integral from 0.4 to 5.2 of kx^2 is k*46.848