JEE Main 2014 · 12 Apr · Shift 1 · Mathematics Q75

MathematicsSingle correct+4 / -1Question 75 of 90

If [ ] denotes the greatest integer function, then the integral $\displaystyle\int_0^\pi[\cos x]\,dx$ is equal to :

\dfrac\pi2

−1

-\dfrac\pi2

Answer and worked solution

Official answer: D

On $(0,\frac\pi2)$ , $[\cos x]=0$ ; on $(\frac\pi2,\pi]$ , $[\cos x]=-1$ . So the integral is $-\dfrac\pi2$ .

JEE Main 2014 · 12 Apr · Shift 1, Mathematics question 75