Problem in formatting a function

Hi I am trying to solve this intergral:

syms x h
h = 1.0545718E-34
f = exp.^(5.06E6.*i.*x+(1./h))+3/4.*exp.^(1./h)+i.*5.06E6./2.*exp.^(1./h)
integral(f, -pi, pi)

But it appears wrong. Can't get a proper indication on what is wrong in MATLAB online. Thanks!

Answer 1

[Steven Lord]

One problem specific to how you've written your code is that you're calling exp incorrectly. To compute the exponential of a variable z you need to use exp(z) instead of exp.^z.

In general:

• To integrate a function that returns numeric values, use the integral function.

f1 = @(x) x.^2;
result1 = integral(f1, 0, 1)

• To integrate a symbolic expression symbolically, use the int function.

syms x
f2 = x^2;
result2a = int(f2, x)
result2b = int(f2, x, 0, 1)
result2b1 = vpa(result2b)
result2b2 = double(result2b)

• To integrate a symbolic expression numerically, use one of two approaches. Either use vpaintegral or convert the symbolic expression into a function that returns numeric values using the matlabFunction function and then use the integral function.

syms x
helper = x^2;
f3 = matlabFunction(helper);
result3a = vpaintegral(helper, 0, 1)
result3b = integral(f3, 0, 1)

[Sergio Manzetti]

Thanks Steven!