Final Answer
$20x^{-\frac{1}{2}}+C_0$
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Step-by-step Solution
Problem to solve:
$\int\frac{10}{-x\sqrt{x}}dx$
Specify the solving method
1
Simplify the expression inside the integral
$\int\frac{-10}{\sqrt{x^{3}}}dx$
Learn how to solve integrals of rational functions problems step by step online.
$\int\frac{-10}{\sqrt{x^{3}}}dx$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int(10/(-xx^1/2))dx. Simplify the expression inside the integral. Rewrite the exponent using the power rule \frac{a^m}{a^n}=a^{m-n}, where in this case m=0. The integral of a function times a constant (-10) is equal to the constant times the integral of the function. Apply the power rule for integration, \displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}, where n represents a number or constant function, such as -\frac{3}{2}.
Final Answer
$20x^{-\frac{1}{2}}+C_0$