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Popular >

integral of 1/x-3

Solution

\int \frac{1}{x} - 3 d x

Solution

ln ∣ x ∣ - 3 x + C

Solution steps

\int \frac{1}{x} - 3 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{1}{x} d x - \int 3 d x

\int \frac{1}{x} d x = ln ∣ x ∣

\int 3 d x = 3 x

= ln ∣ x ∣ - 3 x

Add a constant to the solution

= ln ∣ x ∣ - 3 x + C

Popular Examples

integral of (24)/(sqrt(16-x^2))

\int \frac{24}{16 - x ^{2}} d x

integral of (3x+1)/(x^3-x)

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

integral of 48(1+x^2)(7+12x+4x^3)^{12}

\int 48 (1 + x^{2}) (7 + 12 x + 4 x^{3})^{12} d x

integral of x^2x^2

\int x^{2} x^{2} d x

integral of 2^t(1+5^t)

\int 2^{t} (1 + 5^{t}) d t

Frequently Asked Questions (FAQ)

What is the integral of 1/x-3 ?
The integral of 1/x-3 is ln|x|-3x+C