Evaluate the Double Integral $\iint _ { R } y ^ { 3 } \sin x \cos x d A$

question 259

Multiple Choice

Evaluate the double integral $\iint _ { R } y ^ { 3 } \sin x \cos x d A$ , where $R = \left\{ ( x , y ) \mid 0 \leq x \leq \frac { \pi } { 2 } , 0 \leq y \leq 1 \right\}$ .

• A) \(\frac { 1 } { 4 }\)
• B) \(\frac { 1 } { 2 }\)
• C) \(\frac { \pi } { 4 }\)
• D) \(\frac { 1 } { 8 }\)
• E) \(\frac { 5 } { 4 }\)
• F) \(\frac { 3 } { 2 }\)
• G) \(\frac { \pi } { 2 }\)
• H)0

---

Definitions:

Partial Payment

An amount paid that is less than the total due, often applied to a debt or invoice, which does not fully settle the outstanding amount.

Indorses

To sign the back of a financial instrument, thereby transferring ownership or to express support.

Drawee's Payment

Involves the party, usually a bank, upon which a check or draft is drawn, making the payment as specified to the payee or bearer.

Indorses

Indorses refers to the act of signing the back of a negotiable instrument, like a check, thereby transferring the title or the rights to another party.