∫sin³x dx equals:
∫sin³x dx equals:
- A. (cos 3x)/12 − (3cos x)/4 + C
- B. −(cos x)/3 + (cos³x)/3 + C
- C. Both 0 and 1
- D. −cos x + (cos³x)/3 + C
Answer: C) Both 0 and 1
Explanation: sin³x = (3sin x − sin 3x)/4. Integral = −(3cos x)/4 + (cos 3x)/12 + C. Also using substitution sin³x = sin x(1−cos²x) gives −cos x + (cos³x)/3 + C. Both match.
0 Answers
Log in to post your own answer or join the discussion.
No comments yet — start the discussion.