Question no 114 i forgot how to open mod in these questions please tell

# Doubt from definite integration

You have to split up the given limits of integration into smaller limits where the function can be negative and positive.

for this mainly for \textit {trigo,or known function} draw graph see which graph is up in intervals

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its putnam beutiful problem

\textbf{dalzells integral} hari shankar sir and jagdish sir solved it before

i know one shorcut using complex number but gives only {\pi} part only

Thanks for referring