Chapter 8.7, Problem 1QC

Use the result of Example 3 to evaluate ${\displaystyle {\int }_0^{\pi /2}\frac{dx}{1+\sin x}}$.

Example 3 Using Tables of Integrals for Area

Find the area of the region bounded by the curve $y=\frac{1}{1+\sin x}$ and the x-axis between x = 0 and x = π.