# This integral has everything

**Calculus**Level 4

\[ \large \int_0^{\pi /2} \sin t \cos t \ln \left(\dfrac{\tan t}{e^t} \right) \, dt \]

The integral above has a closed from. Find this closed form.

Give your answer to 3 decimal places.

\[ \large \int_0^{\pi /2} \sin t \cos t \ln \left(\dfrac{\tan t}{e^t} \right) \, dt \]

The integral above has a closed from. Find this closed form.

Give your answer to 3 decimal places.

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