The area between \(\frac{x^2}{a^2}+\frac{y^2}{b^2}=1\) and the line \(\frac{x}{a}+\frac{y}{b}=1\) is

\(\frac{\pi}{2}ab\) \(\frac{1}{2}ab\) \(\frac{\pi}{4}ab-\frac{ab}{2}\) \(\frac{\pi}{4}ab+\frac{ab}{2}\)

\(\frac{\pi}{4}ab-\frac{ab}{2}\)

Sketch and use integration