[core] D and FunctionExpamd rules improved

Author: axkr

symja_android_library/rules/DRules.m

@@ -1,4 +1,5 @@
 {
+  D(Integrate(f_, x_),x_?NotListQ):=f,
   D(Abs(f_),x_?NotListQ):=D(f,x)*x/Abs(x) /; Element(x, Reals),
   D(AiryAi(f_),x_?NotListQ):=D(f,x)*AiryAiPrime(f),
   D(AiryAiPrime(f_),x_?NotListQ):=D(f,x)*AiryAi(f)*f,

symja_android_library/rules/FunctionExpandRules.m

@@ -29,7 +29,8 @@
  HarmonicNumber(z_, n_) := -HurwitzZeta(n, 1 + z) + Zeta(n),
  HurwitzZeta(n_Integer, a_) := ((-1)^n/(n - 1)!)*PolyGamma(n - 1, a)
   /; n>1,
-  
+   
+ HypergeometricPFQ({1/2}, {1, 1}, z_) := BesselI(0, Sqrt(z))^2,
  Hypergeometric2F1(a_, b_, b_ + n_Integer, z_) := (1-z)^(-a+n) * Sum((Pochhammer(n, k)*Pochhammer(b-a+n,k)*z^k) / (Pochhammer(b+n,k)*k!), {k, 0, -n})  
   /; n<0,