What is the integral from 2 to 3 of 95+192x^2-8x ?

The integral from 2 to 3 of 95+192x^2-8x is 1291

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integral from 2 to 3 of 95+192x^2-8x

\int_{2}^{3} 95 + 192 x^{2} - 8 x d x

1291

Solution steps

\int_{2}^{3} 95 + 192 x^{2} - 8 x 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}^{3} 95 d x + \int_{2}^{3} 192 x^{2} d x - \int_{2}^{3} 8 x d x

\int_{2}^{3} 95 d x = 95

\int_{2}^{3} 192 x^{2} d x = 1216

\int_{2}^{3} 8 x d x = 20

= 95 + 1216 - 20

Simplify

= 1291

What is the integral from 2 to 3 of 95+192x^2-8x ?
The integral from 2 to 3 of 95+192x^2-8x is 1291