Q. The area bounded by the curves $y =$ cos $x$ and $y=$ sin $x$ between the ordinates $x = 0$ and $x = \frac{3\pi}{2}$ is
AIEEEAIEEE 2010Application of Integrals
Solution:
$\int\limits^{\frac{\pi}{4}}_{0}\left(cos \,x - sin\,x\right)dx +\int\limits^{\frac{5\pi }{4}}_{\frac{\pi}{4}} \left(sin \,x - cos\,x\right)dx +\int\limits^{\frac{3\pi }{4}}_{\frac{5\pi }{4}}\left(cos \,x - sin\,x\right) =4\sqrt{2}-2$
