What is the integral from 6.3 to 6.6 of 12x^2-6x+4/x ?

The integral from 6.3 to 6.6 of 12x^2-6x+4/x is 138.37208…

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integral from 6.3 to 6.6 of 12x^2-6x+4/x

\int_{6.3}^{6.6} 12 x^{2} - 6 x + \frac{4}{x} d x

138.37208 \dots

Solution steps

\int_{6.3}^{6.6} 12 x^{2} - 6 x + \frac{4}{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_{6.3}^{6.6} 12 x^{2} d x - \int_{6.3}^{6.6} 6 x d x + \int_{6.3}^{6.6} \frac{4}{x} d x

\int_{6.3}^{6.6} 12 x^{2} d x = 149.796

\int_{6.3}^{6.6} 6 x d x = 11.61

\int_{6.3}^{6.6} \frac{4}{x} d x = 0.18608 \dots

= 149.796 - 11.61 + 0.18608 \dots

Simplify

= 138.37208 \dots

What is the integral from 6.3 to 6.6 of 12x^2-6x+4/x ?
The integral from 6.3 to 6.6 of 12x^2-6x+4/x is 138.37208…