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Popular >

integral of 4+1/x

Solution

\int 4 + \frac{1}{x} d x

Solution

4 x + ln ∣ x ∣ + C

Solution steps

\int 4 + \frac{1}{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 4 d x + \int \frac{1}{x} d x

\int 4 d x = 4 x

\int \frac{1}{x} d x = ln ∣ x ∣

= 4 x + ln ∣ x ∣

Add a constant to the solution

= 4 x + ln ∣ x ∣ + C

Popular Examples

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\int 2 sin^{3} (x) cos^{2} (x) d x

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\frac{d y}{d t} = \frac{2 t + sec ^{2} ( t )}{2 y}

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\int (cos (3 x) - sin (5 x)) d x

Frequently Asked Questions (FAQ)

What is the integral of 4+1/x ?
The integral of 4+1/x is 4x+ln|x|+C