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Expression Evaluation

Posted 9 years ago
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In Mathematica v10, this happens:

enter image description here

Questions:

Why is the derivative of y=f(x) not evaluated inside the integral to give 2x?

How can I re-write the input to cause the expression inside the integral to be evaluated prior to performing integration (definite)?

I'm trying to think back to my Lisp days for a hint, but it's not helping :)

~CM

POSTED BY: Calvin Morris
2 Replies
In[1]:= y[x_] = x^2;
a = 0;
b = 3;

In[4]:= Integrate[(1 + y'[x]^2)^(1/2), {x, a, b}]

Out[4]= 1/4 (6 Sqrt[37] + ArcSinh[6])
POSTED BY: Frank Kampas
Posted 9 years ago

Thanks, Frank. That was exactly the help I needed.

~CM

POSTED BY: Calvin Morris
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