Discussion Forum



1)

$\int_{0}^{3} \left[x\right]$ dx=........., where [x] is greatest integer function,


A) 3

B) 0

C) 2

D) 1

Answer:

Option A

Explanation:

Let   l=$\int_{0}^{3} \left[x\right]$ dx

= $\int_{0}^{1} 0 dx+\int_{1}^{2} 1 dx+\int_{2}^{3}2 dx$

   = $[x]_{2}^{1}+2[x]_{2}^{3}$

= (2-1)+2(3-2)=1+2=3