What is the integral from 6.1 to 7.2 of 12x^2-6x+4/x ?

The integral from 6.1 to 7.2 of 12x^2-6x+4/x is 541.84116…

Popular >

integral from 6.1 to 7.2 of 12x^2-6x+4/x

\int_{6.1}^{7.2} 12 x^{2} - 6 x + \frac{4}{x} d x

541.84116 \dots

Solution steps

\int_{6.1}^{7.2} 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_{6.1}^{7.2} 12 x^{2} d x - \int_{6.1}^{7.2} 6 x d x + \int_{6.1}^{7.2} \frac{4}{x} d x

\int_{6.1}^{7.2} 12 x^{2} d x = 585.068

\int_{6.1}^{7.2} 6 x d x = 43.89

\int_{6.1}^{7.2} \frac{4}{x} d x = 0.66316 \dots

= 585.068 - 43.89 + 0.66316 \dots

Simplify

= 541.84116 \dots

\int_{- 5 π}^{5 π} cos^{2} (x) d x

\int_{0}^{π} 2 sin (t) d t

\int_{- 1}^{3} (\frac{1}{2} x^{2} - 2 x - 3) d x

\int_{0}^{4 - z^{2}} z d z

\int_{- \infty}^{1} \frac{1}{1 + x ^{2}} d x

What is the integral from 6.1 to 7.2 of 12x^2-6x+4/x ?
The integral from 6.1 to 7.2 of 12x^2-6x+4/x is 541.84116…