How do I multiply a given function handle with the independent variable?

I have pre-defined n number of function handles f_{i} which are functions of t for i = 1 to n. How do I define a new function g_{i} = t.f_{i} and then evaluate the integral of each g_{i} from t=0 to 1?

Answer 1

[Steven Lord]

f = @sin;
g = @(t) t.*f(t);
format longg
[3*sin(3); g(3)] % Spot check by evaluating the function at t = 3

ans = 2×1

0.423360024179602 0.423360024179602

Now you can use g like any other function handle in functions like integral.

numericAnswer = integral(g, 0, 2*pi)

numericAnswer = 
         -6.28318530717959

syms x
symbolicAnswer = int(x.*sin(x), 0, 2*pi) % or

symbolicAnswer = 

symbolicAnswer = int(g(x), 0, 2*pi)

symbolicAnswer = 

[numericAnswer; double(symbolicAnswer)]

ans = 2×1

-6.28318530717959 -6.28318530717959

Answer 2

[埃博拉酱]

Use symfun and int in Symbolic Math Toolbox if you want to do integrals.