12th Class
Mathematics
Sample Paper
Maths Olympiad Model Paper-9
question_answer
If \[\Delta (x)=\left| \begin{matrix} 1 & \cos x & 1-\cos x \\ 1+\sin x & \cos x & 1+\sin x-\cos x \\ \sin x & \sin x & 1 \\ \end{matrix} \right|,\] then \[\int_{0}^{\pi /2}{\Delta (x)\,\,dx}\] equals