Final Answer
$5\sqrt[5]{x}+C_0$
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Step-by-step Solution
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1
Find the integral
$\int\sqrt[5]{\left(\frac{x^{-\frac{1}{2}}}{x^{\frac{3}{2}}}\right)^{2}}dx$
Learn how to solve integral calculus problems step by step online.
$\int\sqrt[5]{\left(\frac{x^{-\frac{1}{2}}}{x^{\frac{3}{2}}}\right)^{2}}dx$
Learn how to solve integral calculus problems step by step online. Find the integral of ((x^(-1/2))/(x^(3/2)))^2/5. Find the integral. Simplifying. 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.
Final Answer
$5\sqrt[5]{x}+C_0$