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Popular >

integral of 1/((x))

Solution

\int \frac{1}{( x )} d x

Solution

ln ∣ x ∣ + C

Solution steps

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

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= ln ∣ x ∣

Add a constant to the solution

= ln ∣ x ∣ + C

Popular Examples

(dr)/(dθ)=(r^2+8rθ)/(4θ^2)

\frac{d r}{d θ} = \frac{r ^{2} + 8 r θ}{4 θ ^{2}}

y^{''}-y^'+6y=0

y^{^{''}} - y^{^{'}} + 6 y = 0

d/(dθ)(4/(2cos(θ)-sin(θ)))

\frac{d}{d θ} (\frac{4}{2 cos ( θ ) - sin ( θ )})

tangent of f(x)=(8x)/(x^2+1),(1,4)tangent of

f (x) = \frac{8 x}{x ^{2} + 1}, (1, 4)

derivative of (4x/(3-tan(x)))

\frac{d}{d x} (\frac{4 x}{3 - tan ( x )})

Frequently Asked Questions (FAQ)

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