Question

\(\int \sin^3 2x \sin^{26}x \, dx=\)

• A. \(8(\frac{\sin^{27}x}{27}-\frac{\sin^{29}x}{29})+c\)
• B. \(4(\frac{\sin^{28}x}{14}-\frac{\sin^{30}x}{15})+c\)
• C. \(8(\frac{\sin^{31}x}{31}-\frac{\sin^{33}x}{33})+c\)
• D. \(4(\frac{\sin^{30}x}{15}-\frac{\sin^{32}x}{16})+c\) \bigskip

Hint:

Convert everything to single trig function before integrating.

Answer 1

The Correct Option is C