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

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

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integral of 3/(x^2)+2/(x^3)

\int \frac{3}{x ^{2}} + \frac{2}{x ^{3}} d x

- \frac{3}{x} - \frac{1}{x ^{2}} + C

Solution steps

\int \frac{3}{x ^{2}} + \frac{2}{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{3}{x ^{2}} d x + \int \frac{2}{x ^{3}} d x

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

\int \frac{2}{x ^{3}} d x = - \frac{1}{x ^{2}}

= - \frac{3}{x} - \frac{1}{x ^{2}}

Add a constant to the solution

= - \frac{3}{x} - \frac{1}{x ^{2}} + C

x \frac{d y}{d x} = y (ln (y) - ln (x))

\frac{d}{d x} (\frac{ln ( x ) - 1}{ln ^{2} ( x )})

\frac{12}{1 + x ^{4}}, 6 x^{2}

2 x^{x}

n = 0 \sum \infty \frac{2 ^{2}}{3 ^{2}}

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