Simple Integrations in Mathematica

• To: MATHGROUP at yoda.physics.unc.edu
• Subject: Simple Integrations in Mathematica
• From: wasfy at nic.gac.edu (Michael Wasfy Nicolas Ibrahim)
• Date: Tue, 23 Mar 93 21:54:30 CST

```Hello, I am helping with a couple calculus classes in which we are
trying to encourage beginning students to use Mathematica to their
benefit.  Unfortunately students tend to be daunted when they
encounter the following:
============================================
In[1]:= Integrate[(1+Sin[x])/Cos[x]^2,x]

x
2 Sin[-]
2
Out[1]= ---------------
x        x
Cos[-] - Sin[-]
2        2

In[2]:= Integrate[(1+Sin[x])/Cos[x]^2,{x,0,Pi/4}]

5/4
(1 + I) (1 + (-1)   )
Out[2]= ---------------------
1/4
-I + (-1)
============================================
As opposed to the simpler expected results Tan[x] + Sec[x] and
Sqrt[2] respectively. Is there an easy way to force these solutions?
(This by the way is only one example--it is not the only instance).
I recall a while ago someone had a similar question relating to the
suppression of special functions.  I don't recall the answer to that
question, but I seem to remember it wasn't trivial.  Well, anyways
any suggestions to make the answers look slightly more friendly for
students would be greatly appreciated.

Michael Ibrahim
wasfy at nic.gac.edu
NeXT Mail accepted

```

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