What is the integral from 5 to 6 of x^2-8x+15 ?

The integral from 5 to 6 of x^2-8x+15 is 4/3

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integral from 5 to 6 of x^2-8x+15

\int_{5}^{6} x^{2} - 8 x + 15 d x

\frac{4}{3}

Solution steps

\int_{5}^{6} x^{2} - 8 x + 15 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_{5}^{6} x^{2} d x - \int_{5}^{6} 8 x d x + \int_{5}^{6} 15 d x

\int_{5}^{6} x^{2} d x = \frac{91}{3}

\int_{5}^{6} 8 x d x = 44

\int_{5}^{6} 15 d x = 15

= \frac{91}{3} - 44 + 15

Simplify

\frac{91}{3} - 44 + 15 : \frac{4}{3}

= \frac{4}{3}

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What is the integral from 5 to 6 of x^2-8x+15 ?
The integral from 5 to 6 of x^2-8x+15 is 4/3