What is the integral from 2 to 5 of 6x^2+2x+1 ?

The integral from 2 to 5 of 6x^2+2x+1 is 258

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integral from 2 to 5 of 6x^2+2x+1

\int_{2}^{5} 6 x^{2} + 2 x + 1 d x

258

Solution steps

\int_{2}^{5} 6 x^{2} + 2 x + 1 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} 6 x^{2} d x + \int_{2}^{5} 2 x d x + \int_{2}^{5} 1 d x

\int_{2}^{5} 6 x^{2} d x = 234

\int_{2}^{5} 2 x d x = 21

\int_{2}^{5} 1 d x = 3

= 234 + 21 + 3

Simplify

= 258

What is the integral from 2 to 5 of 6x^2+2x+1 ?
The integral from 2 to 5 of 6x^2+2x+1 is 258