What is the integral from-1 to 5 of kx^2 ?

The integral from-1 to 5 of kx^2 is k*42

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integral from-1 to 5 of kx^2

\int_{- 1}^{5} k x^{2} d x

k \cdot 42

Solution steps

\int_{- 1}^{5} 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_{- 1}^{5} x^{2} d x

Apply the Power Rule

: [\frac{x ^{3}}{3}]_{- 1}^{5}

= k [\frac{x ^{3}}{3}]_{- 1}^{5}

Compute the boundaries:

42

= k \cdot 42

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What is the integral from-1 to 5 of kx^2 ?
The integral from-1 to 5 of kx^2 is k*42