contexto.140 2 years ago Let, Use king theorem of definite integral Adding equation (1) and (2) Let, At At Similarly,
![\[y=\int _{0}^{\pi /2}\log \frac{1}{\sin x\cos x}dx\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-5a19f5f9ecbc3b8ab9155a8e3a450d94_l3.png "Rendered by QuickLaTeX.com")
![\[y=-\left( \int _{0}^{\pi /2}\log \sin xdx+\int _{0}^{\pi /2}\log \cos xdx \right)\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-6c7d8298cf8ca3a53f76ceb2c31c481d_l3.png "Rendered by QuickLaTeX.com")
![\[y=\int _{0}^{\pi /2}\log \left( \frac{\sin x}{\cos x}+\frac{\cos x}{\sin x} \right)dx\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-a679411f8191078aadb81574c6f2b9f5_l3.png "Rendered by QuickLaTeX.com")
