Can't integrate exponential function

I am trying to figure out how to write integral functions that have exponential numbers in the functions.

Matlab gives me an error for the following function:

%Practice integral with exponent
clc 
clear

syms x
myFunc = @(x) (exp(x)/x);
 y = integral(myFunc,3.5,4.5);

[Gabriel Sharp]

I get an error message:

Error using integralCalc/finalInputChecks (line 526)

Output of the function must be the same size as the input. If FUN is an array-valued

integrand, set the 'ArrayValued' option to true.

Answer 1

[Matt J]

%syms x    - doesn't belong here

myFunc = @(x) (exp(x)./x);  %use ./

 y = integral(myFunc,3.5,4.5)

y = 14.0083

[Gabriel Sharp]

What does the period do? It now works, by the way, thanks for the help.

Answer 2

[Voss]

Telling integral() that the function is array-valued seems to work ok:

myFunc = @(x) (exp(x)/x);
y = integral(myFunc,3.5,4.5,'ArrayValued',true)

y = 14.0083

[Matt J]

Yes, but less efficiently. The integral computation will not be vectorized.

wp=linspace(3.5,4.5,1e5);

myFunc = @(x) (exp(x)/x);
tic;
y = integral(myFunc,3.5,4.5,'ArrayValued',true,'WayPoints',wp);
toc

Elapsed time is 2.280323 seconds.

myFunc = @(x) (exp(x)./x);
tic;
y = integral(myFunc,3.5,4.5,'WayPoints',wp);
toc

Elapsed time is 0.070478 seconds.

[Voss]

I still do my integrals by hand, but @Gabriel Sharp may be interested in your comment.

Answer 3

[Walter Roberson]

syms x
myFunc = (exp(x)/x);

tic; y1 = int(myFunc,3.5,4.5), double(y1), toc

y1 = 

ans = 14.0083

Elapsed time is 0.560509 seconds.

tic; y2 = vpaintegral(myFunc,3.5,4.5), double(y2), toc

y2 = 

14.0083

ans = 14.0083

Elapsed time is 0.159376 seconds.

[Gabriel Sharp]

Interesting how many ways the integral can be done!