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Popular >

integral of 2/x-1

Solution

\int \frac{2}{x} - 1 d x

Solution

2 ln ∣ x ∣ - x + C

Solution steps

\int \frac{2}{x} - 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 \frac{2}{x} d x - \int 1 d x

\int \frac{2}{x} d x = 2 ln ∣ x ∣

\int 1 d x = x

= 2 ln ∣ x ∣ - x

Add a constant to the solution

= 2 ln ∣ x ∣ - x + C

Popular Examples

integral of (((ln(x))^4))/x

\int \frac{( ( ln ( x ) ) ^{4} )}{x} d x

integral of 2x(x^2+6)^5

\int 2 x (x^{2} + 6)^{5} d x

integral of 1/(sqrt(2x+x^2))

\int \frac{1}{2 x + x ^{2}} d x

integral of x^{1/3}+9

\int x^{\frac{1}{3}} + 9 d x

integral of (3x^4-4x^3+5)/(x^2)

\int \frac{3 x ^{4} - 4 x ^{3} + 5}{x ^{2}} d x

Frequently Asked Questions (FAQ)

What is the integral of 2/x-1 ?
The integral of 2/x-1 is 2ln|x|-x+C