Energy calculation via current signal integration with limits

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I want to calculate Energy during applied voltage and recieved current pulse signal at given time
data=load('data.txt'); % Pulse data
T=data(:,1); % Time vector
V=data(:,2); % Voltage in volts
I=data(:,3); %Current in Amp
iVs= find(T>=0,1,'first'); % Voltage/Pulse Signal start index
Vmx=V(iVs); % Value of voltage at signal/pulse start time
iVe=find(T>0 & V<=(Vmx/4),1,'last'); % End of signal/voltage index
w=round((T(iVe)-T(iVs))*1E6); % Pulse width or duration in micro sec
P=I.*V; % Power pulse
% Now we have time, Voltage, Current, start and end time of pulse/signal
% What is enegry delivered in pulse duration (Zero to 43 micro-sec)
% Formula =
Somehow I struglling to apply intergration with time limits ?

采纳的回答

Star Strider
Star Strider 2020-7-2
Add this after your posted code:
idxrng = iVs:iVe;
IntP = cumtrapz(T(idxrng), P(idxrng));
figure
subplot(3,1,1)
yyaxis left
plot(T, V)
ylabel('V')
yyaxis right
plot(T, I)
ylabel('I')
grid
subplot(3,1,2)
plot(T, P)
ylabel('P')
grid
subplot(3,1,3)
plot(T(idxrng), IntP)
text(T(iVe), IntP(end), sprintf('Total Power = %7.3f \n \\downarrow', IntP(end)), 'HorizontalAlignment','right', 'VerticalAlignment','bottom')
ylabel('$\int{P}dt$', 'Interpreter','latex')
grid
producing:
.Add appropriate units (such a ‘VA’) for power.
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