Directions
Read the following questions. Choose the right answer.
There is only ONE correct answer to each question.
∫(π/2 to 0) sin³(x) dx + ∫(0 to -π/2) sin³(x) dx =
- 1/2
- 1/4
- 0
- -1/4
Show answer
Correct answer: C. 0
Why
The two integrals join end to end into a single integral from π/2 to −π/2, an interval symmetric about 0. Since sin³(x) is an odd function, its integral over a symmetric interval is 0.