What is the integral of 3/(x^4)-2/x ?

The integral of 3/(x^4)-2/x is -1/(x^3)-2ln|x|+C

Popular >

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

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

- \frac{1}{x ^{3}} - 2 ln ∣ x ∣ + C

Solution steps

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

\int \frac{3}{x ^{4}} d x = - \frac{1}{x ^{3}}

\int \frac{2}{x} d x = 2 ln ∣ x ∣

= - \frac{1}{x ^{3}} - 2 ln ∣ x ∣

Add a constant to the solution

= - \frac{1}{x ^{3}} - 2 ln ∣ x ∣ + C

\int \frac{30 x ^{3} - 60 x ^{2} + 2}{x ^{2} - 2 x} d x

\int 8 cot^{4} (t) d t

\int \frac{1}{2 x ^{2} + 8 x + 10} d x

\int \frac{2 x ^{2} + 1}{( x - 2 ) ^{3}} d x

\int \frac{1}{w ^{2} w ^{2} + a ^{2}} d w

What is the integral of 3/(x^4)-2/x ?
The integral of 3/(x^4)-2/x is -1/(x^3)-2ln|x|+C