CALCULUS 1000B, Winter 2023
Q4. (8 marks) Using the corresponding reduction formula, evaluate $\int_0^{\pi/2} \sin^n x \, dx$.
Hint: it will be necessary to solve this problem separately if $n$ is even (i.e., $n = 2k$, where $k = 1, 2, 3, \dots$) and if $n$ is odd (i.e., $n = 2k + 1$, where $k = 0, 1, 2, 3, \dots$).
