What is the integral from 1 to 2 of ((12)/(x^2)-1) ?

The integral from 1 to 2 of ((12)/(x^2)-1) is 5

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integral from 1 to 2 of ((12)/(x^2)-1)

\int_{1}^{2} (\frac{12}{x ^{2}} - 1) d x

5

Solution steps

\int_{1}^{2} \frac{12}{x ^{2}} - 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_{1}^{2} \frac{12}{x ^{2}} d x - \int_{1}^{2} 1 d x

\int_{1}^{2} \frac{12}{x ^{2}} d x = 6

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

= 6 - 1

Simplify

= 5

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What is the integral from 1 to 2 of ((12)/(x^2)-1) ?
The integral from 1 to 2 of ((12)/(x^2)-1) is 5