Question

Area bounded by $y=[sinx+cosx]$ and the lines $x=0,x=\pi$ is where (where [.] denotes the greatest integer function)

• A. $\pi$
• B. $\frac{\pi }{2}$
• C. $\frac{3\pi }{2}$
• D. $\frac{3\pi }{4}$

Answer 1

The correct option is D $\frac{3\pi }{4}$

$(\frac{\pi }{2}\times 1)+(\frac{\pi }{4}\times 1)$

$=\frac{3\pi }{4}$

The function shown is $[\sin x+\cos x]$