Convolution of two signal

How can I write the convolution code of the function below?

u(t)=sin(2*pi*f*t)
g(t)=exp(-t/tau)

Analytically or with con(,) ?

NOTE:-

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Try This:

numPoints = 1000; % Whatever.
f = .10; % Whatever.
tau = 2; % Whatever.
t = linspace(0, 4*pi); % Whatever.
u = sin(2*pi*f*t);
g = exp(-t/tau);
out = conv(u, g, 'full');
% Plot u
subplot(3, 1, 1);
plot(t, u, 'b-', 'LineWidth', 2);
grid on;
xlabel('t', 'FontSize', 12);
ylabel('u', 'FontSize', 12);
% Plot g
subplot(3, 1, 2);
plot(t, g, 'b-', 'LineWidth', 2);

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Convolution of two signal

Convolution of two signal