Please manuallly calculate the integration constant $($T$)$ using the equation above?

Figure $4$

The integration constant $($ T $)$ for this add$-$on can be given by:

V$\_($o$($t$))=-(1)/($R$4*$C$1)\backslash$int$\_0^$t V$\_($in$)$dt$+$V$\_($o$($o$))$

Note:

Vin $=$ LED voltage

Vo$($o$)=$ peak output voltage after the integrator

t$=($T$)/(2)$

Vo$($t$)=$ output voltage after the integrator, remember: t$=($T$)/(2)($half the period$)$

Analytically calculate the integration constant $($T$)$ using the equation above. Please use typical

resistor values when solving the equation.