GATE IN 2026 | Question: 47

Question

Let $f(t)=\left\{\begin{array}{cc}1, & t \in[0,2] \\ -t+3, & t \in[2,3] \\ 0, & \text { otherwise }\end{array}\right.$

Then

$\int_{-\infty}^{\infty} f(\tau) d \tau=$ $\_\_\_\_$. (rounded off to one decimal place)