p14_31.dir

Programs for the book Advanced Engineering Mathematics using MATLAB, 2ndEd.

p12_31
Function f= x^2

y =

x^2

 
dy =
 
2*x
 
 
dy2 =
 
4*x^2
 
 
dssq =
 
4*x^2+1
 
 
ds =
 
(4*x^2+1)^(1/2)
 
 
s =
 
1/2*x*(4*x^2+1)^(1/2)+1/4*asinh(2*x)
 
 
                               2     1/2
                     1/2 x (4 x  + 1)    + 1/4 asinh(2 x)
p12_31
Function f= sin(x)

y =

sin(x)

 
dy =
 
cos(x)
 
 
dy2 =
 
cos(x)^2
 
 
dssq =
 
cos(x)^2+1
 
 
ds =
 
(cos(x)^2+1)^(1/2)
 

Warning: Explicit integral could not be found.
> In d:\matlabsv\toolbox\symbolic\@sym\int.m at line 58
  In c:\advmatbk\v5disk\ch12\ansch12\p12_31.m at line 10
 
s =
 
int((cos(x)^2+1)^(1/2),x)
 
 
                              /
                             |         2     1/2
                             |  (cos(x)  + 1)    dx
                             |
                            /
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