What is the integral from 0 to 3 of kx^2+1/30 ?

The integral from 0 to 3 of kx^2+1/30 is k*9+1/10

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integral from 0 to 3 of kx^2+1/30

\int_{0}^{3} k x^{2} + \frac{1}{30} d x

k \cdot 9 + \frac{1}{10}

Solution steps

\int_{0}^{3} k x^{2} + \frac{1}{30} d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{0}^{3} k x^{2} d x + \int_{0}^{3} \frac{1}{30} d x

\int_{0}^{3} k x^{2} d x = k \cdot 9

\int_{0}^{3} \frac{1}{30} d x = \frac{1}{10}

= k \cdot 9 + \frac{1}{10}

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What is the integral from 0 to 3 of kx^2+1/30 ?
The integral from 0 to 3 of kx^2+1/30 is k*9+1/10