# Logarithm Definite Integral

**Calculus**Level 4

\[ \Large{ \int^{\Large{\frac{\pi}{2}}}_{0} \left[ e^{\ln\left | \cos x \cdot \frac{d(\cos x)}{dx}\right | } \right]\, dx}\]

Integrate the integral above.

\[ \Large{ \int^{\Large{\frac{\pi}{2}}}_{0} \left[ e^{\ln\left | \cos x \cdot \frac{d(\cos x)}{dx}\right | } \right]\, dx}\]

Integrate the integral above.

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