Final Answer
$-\frac{2}{5}x^{-\frac{5}{2}}+C_0$
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Step-by-step Solution
Problem to solve:
$\int\frac{1}{x^4\sqrt{x^{\left(2-3\right)}}}dx$
Specify the solving method
1
Simplify the expression inside the integral
$\int\frac{1}{\sqrt{x^{7}}}dx$
Learn how to solve integrals of rational functions problems step by step online.
$\int\frac{1}{\sqrt{x^{7}}}dx$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int(1/(x^4x^(2-3)^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. 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{7}{2}. Divide 1 by -\frac{5}{2}.
Final Answer
$-\frac{2}{5}x^{-\frac{5}{2}}+C_0$