Integrate the Function F Over the Given Region $f ( x , y ) = 4 x \sin x y$

question 240

Multiple Choice

Integrate the function f over the given region.
- $f ( x , y ) = 4 x \sin x y$ over the rectangle $0 \leq x \leq \pi , 0 \leq y \leq 1$

• A) \(4 \pi\)
• B) \(\pi\)
• C) \(\frac { \pi } { 4 }\)
• D) \(4 \pi - 4\)

---

Definitions:

Linear Alkanes

Alkanes that consist of carbon atoms arranged in a straight chain, without any branches.

Methylpentane

A hydrocarbon molecule with the chemical formula C6H14, representing an isomer of hexane, used in various chemical applications.

Methyl Group

An alkyl derived from methane, containing one carbon atom bonded to three hydrogen atoms - CH3.

Valence Shell Electron Pair Repulsion Theory

A model used to predict the geometry of individual molecules based on the repulsion between electron pairs around a central atom.