How do you integrate a very long equation on MATLAB?

I have a very long equation (yuse*p) that I need to integrate over. However, as you can see, the code is not returning my values, just regurgitate whatever I input in it. Could you guys help me find a way to integrate it?

syms x
y = 0.5+x^0.6532;
%incremental surface
yuse = sqrt(1+(diff(y))^2);
%pressure along the nozzle wall
p = 7.593*x^6 - 231*x^5 + 2316.1*x^4 - 10644*x^3 + 21966*x^2 - 16304*x + 1000000;
%integrate
int(yuse*p,0,10)

ans = 

Answer 1

[David Hill]

Numerical integration.

p=@(x)(7.593*x.^6 - 231*x.^5 + 2316.1*x.^4 - 10644*x.^3 + 21966*x.^2 - 16304*x + 1000000).*...
    sqrt(1+2666689./(6250000*x.^(867/1250)));
I=integral(p,0,10)

I = 9.6221e+06

Answer 2

[Star Strider]

Use the vpaintegral function —

syms x
y = 0.5+x^0.6532;
%incremental surface
yuse = sqrt(1+(diff(y))^2);
%pressure along the nozzle wall
p = 7.593*x^6 - 231*x^5 + 2316.1*x^4 - 10644*x^3 + 21966*x^2 - 16304*x + 1000000;
%integrate
Value = vpaintegral(yuse*p,0,10)

Value = 

9622050.0

.