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

The integral of (sqrt(x))/(x^3) is -2/(3x^{3/2)}+C

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integral of (sqrt(x))/(x^3)

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

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

Solution steps

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

Simplify

\frac{x}{x ^{3}} : \frac{1}{x ^{\frac{5}{2}}}

= \int \frac{1}{x ^{\frac{5}{2}}} d x

Apply the Power Rule

: - \frac{2}{3 x ^{\frac{3}{2}}}

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

Add a constant to the solution

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

\int_{2}^{3} \frac{24}{3 - x} d x

f (x) = \frac{5}{ln ( x )}

\frac{d}{d x} ((x - a)^{3})

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

\int \frac{( x + 3 )}{x ^{2} + 4} d x

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