What is the integral from 0 to sqrt(10 of)x^2-5 ?

The integral from 0 to sqrt(10 of)x^2-5 is (10sqrt(10))/3-5sqrt(10)

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integral from 0 to sqrt(10 of)x^2-5

\int_{0}^{10} x^{2} - 5 d x

\frac{10 10}{3} - 510

Solution steps

\int_{0}^{10} x^{2} - 5 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}^{10} x^{2} d x - \int_{0}^{10} 5 d x

\int_{0}^{10} x^{2} d x = \frac{10 10}{3}

\int_{0}^{10} 5 d x = 510

= \frac{10 10}{3} - 510

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What is the integral from 0 to sqrt(10 of)x^2-5 ?
The integral from 0 to sqrt(10 of)x^2-5 is (10sqrt(10))/3-5sqrt(10)