What is the integral from 2 to 5 of 5x^2+13x-6 ?

The integral from 2 to 5 of 5x^2+13x-6 is 627/2

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integral from 2 to 5 of 5x^2+13x-6

\int_{2}^{5} 5 x^{2} + 13 x - 6 d x

\frac{627}{2}

Decimal

313.5

Solution steps

\int_{2}^{5} 5 x^{2} + 13 x - 6 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_{2}^{5} 5 x^{2} d x + \int_{2}^{5} 13 x d x - \int_{2}^{5} 6 d x

\int_{2}^{5} 5 x^{2} d x = 195

\int_{2}^{5} 13 x d x = \frac{273}{2}

\int_{2}^{5} 6 d x = 18

= 195 + \frac{273}{2} - 18

Simplify

195 + \frac{273}{2} - 18 : \frac{627}{2}

= \frac{627}{2}

What is the integral from 2 to 5 of 5x^2+13x-6 ?
The integral from 2 to 5 of 5x^2+13x-6 is 627/2