integration hyperbolic

[zihahpurple]

IN MATLAB, how to solve this question ∫cosh(x) dx in the interval of [1,10]....can anyone give me the script in matlab??please...:|

 

[errakeshpillai]

Sry I cannot do it in MATLAB, but you can easily do it by converting into the exponential form...

 

[zihahpurple]

how??...i really need the command in matlab.....annyone who knows it,please give me answer...

 

[albbg]

You can use the function "quad"

Numerically evaluate integral, adaptive Simpson quadrature - MATLAB

 

[zihahpurple]

thnkz u!

 

[_Eduardo_]

Matlab evaluates the indefinite integral

>> syms x
>> int(cosh(x))

ans =

sinh(x)

​

then, the definite integral is: sinh(10)-sinh(1)

And the definite integral

>> syms x
>> int(cosh(x),x,1,10)

ans =

1/(2*exp(1)) - exp(1)/2 - 1/(2*exp(10)) + exp(10)/2

​

Matlab use exponential form sinh(x) = (exp(x)-exp(-x))/2

 

[zihahpurple]

owh...yaa...thnkz u very much...and then,we can't get the real one aswr in matlab?i means the answr like(eg.34.568)<<this...coz using that script,we can get the answr about tht formula only...anyway...thnkx2!:wink:

 

[_Eduardo_]

Evaluate the symbolic expression

syms x
eval(int(cosh(x),x,1,10))

​

But for a simple function as cosh (x) does not make sense integrate by symbolic computation or by numeric integration, just use directly the "well known" primitive ∫cosh(x)dx = sinh(x)