$\frac{d}{dx}\left(x^{ln\left(x\right)}\right)$
$\frac{d}{dx}\left(x^{sin\left(x\right)}\right)$
$\frac{d}{dx}\left(cosx\right)^x$
$\frac{d}{dx}\left(x^{4x}\right)$
$\frac{d}{dx}\left(\cos\left(x\right)^x\right)$
$\frac{d}{dx}\left(x-1\right)^{\cos\left(2x\right)}$
$\frac{d}{dx}\left(x^{cos\left(x\right)}\right)$
Integration assigns numbers to functions in a way that can describe displacement, area, volume, and other concepts that arise by combining infinitesimal data.
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