Update app.py

app.py

@@ -827,6 +827,9 @@ make sure the question is CLEAR about what regions you intend to be included in
    - Explicitly state what is symmetric
    - Identify the axis/plane of symmetry
 
+13. In calculus do not forget opportunities to apply power-reduction formulas for trig functions
+   - e.g.: Integral from 0 to pi of [cos(theta)]^(2n) d(theta) = (pi / 2^(2n)) * (2n choose n), where choose is the combinatorial choose function
+
 """
         
 #Consider
@@ -1108,7 +1111,7 @@ Please follow these steps exactly:
    - Any missing steps or assumptions
    - Any necessary additional proofs or derivations
 
-4. The answer aligns with the {'SymPy' if sympy_correct else 'original'} approach proven correct
+4. The answer aligns with the {'SymPy' if sympy_correct else 'original'} answer proven correct
 
 Your complete solution must:
 - Be completely self-contained