Unique limits of integration

Calculus Level 4

\[ \large \displaystyle \int \limits_{\arccos\left( \ln \left(\pi/4 \right) \right)}^{\arccos \left( \ln \left(\pi/2 \right) \right)} (-\sin x)e^{\cos x} \cot \left( e^{\cos x}\right) \, dx \]

If the above integral can be represented in the form \( \ln \sqrt{a} \), find \(a\).

Clarification: \(e \approx 2.71828\) denotes the Euler's number.

×

Problem Loading...

Note Loading...

Set Loading...