[SOLVED] integrate function of a function

integrate function of a function

i am trying to integrate a power sum raised to power of 1.2.

The question is this integrate (((t^1)+(t^2)+(t^3))^(1.2)) from 0 to 1, with respect to t.

x=1:3
syms t
y=sum(t.^x)
fun=@(y) y^(1.2)
integral(fun,0,1)

Output as: Error using ^ Inputs must be a scalar and a square matrix. To compute elementwise POWER, use POWER (.^) instead.

But I'm not trying to compute elementwise.

Any comment/insight would be helpful. Thank you.

Solution

I think, in your last line you refer to the generic y that has nothing to do with y you have specified before. so, instead of fun you need fun(y). Then, since the output of your fun is symbolic expression, then you need to convert this expression to the function handle using matlabFunction. So, the final code would look like:

x=1:3
syms t
y=sum(t.^x)
fun=@(y) y^(1.2)
integral(matlabFunction(fun(y)),0,1)

Output:

1.1857

Hope that helps, good luck!