∫ (from - infty to infty) of f(t)delta(t-T)dt সমাধান কৰক

$$\int _ { - \infty } ^ { \infty } f ( t ) \delta ( t - T ) d t$$

মূল্যায়ন

$$\left\{\begin{matrix}\infty,&\left(f<0\text{ and }\delta <0\right)\text{ or }\left(f>0\text{ and }\delta >0\right)\\0,&\delta =0\text{ or }f=0\\-\infty,&\left(f>0\text{ and }\delta <0\right)\text{ or }\left(\delta >0\text{ and }f<0\right)\end{matrix}\right.$$

ডিফাৰেনচিয়েট w.r.t. f

$$\text{Indeterminate}$$