Integrate the function $\frac{\left(\sqrt[5]{x}\sqrt{y^{3}}\right)^{10}}{\left(y^{- \frac{2}{5}}\sqrt[3]{x^{2}}\right)^5}$

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Basic Derivatives

· Power rule for derivatives
$\frac{d}{dx}\left(x^a\right)=ax^{\left(a-1\right)}$

Basic Integrals

· Power Rule of Integration
$\int x^ndx=\frac{x^{\left(n+1\right)}}{n+1}+C$

Integration Techniques

· Integration by Parts
$\int udv=uv - \int vdu$

Main Topic: Integral Calculus

Integration assigns numbers to functions in a way that can describe displacement, area, volume, and other concepts that arise by combining infinitesimal data.

Used Formulas

See formulas (3)

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