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