What is the integral of 3.17-(6.671)/x ?

The integral of 3.17-(6.671)/x is 3.17x-6.671ln|x|+C

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integral of 3.17-(6.671)/x

\int 3.17 - \frac{6.671}{x} d x

3.17 x - 6.671 ln ∣ x ∣ + C

Solution steps

\int 3.17 - \frac{6.671}{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 3.17 d x - \int \frac{6.671}{x} d x

\int 3.17 d x = 3.17 x

\int \frac{6.671}{x} d x = 6.671 ln ∣ x ∣

= 3.17 x - 6.671 ln ∣ x ∣

Add a constant to the solution

= 3.17 x - 6.671 ln ∣ x ∣ + C

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What is the integral of 3.17-(6.671)/x ?
The integral of 3.17-(6.671)/x is 3.17x-6.671ln|x|+C