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Popular Calculus >

integral of 6/x+2pi

Solution

\int \frac{6}{x} + 2 π d x

Solution

6 ln ∣ x ∣ + 2 π x + C

Solution steps

\int \frac{6}{x} + 2 π 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 \frac{6}{x} d x + \int 2 π d x

\int \frac{6}{x} d x = 6 ln ∣ x ∣

\int 2 π d x = 2 π x

= 6 ln ∣ x ∣ + 2 π x

Add a constant to the solution

= 6 ln ∣ x ∣ + 2 π x + C

Graph

Popular Examples

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\int \frac{9}{5 ^{2} + x ^{2}} d x

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\int - 16 sin^{2} (t) d t

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\int (8 x + 19)^{- 2} d x

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\int (2 x + 1)^{20} d x

Frequently Asked Questions (FAQ)

What is the integral of 6/x+2pi ?
The integral of 6/x+2pi is 6ln|x|+2pix+C