 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2025/paper-1/5/b/solution

sec^{2} x

, and the order of the endpoints must be retained. Thus the definite integral is

[tan x]_{π /3}^{π /6} = \frac{1}{3} - 3 = - \frac{2}{3} .

 New to topics? Read the docs here!