The techniques used on this page use a special package which must be called by using the following command:

> with(student);

1. 

   > A:=Int(x^n*sin(x),x);

   

   > intparts(A,x^n);

   

   > simplify(");

   

2. 

   > A:=Int(x^n*cos(x),x);

   

   > intparts(A,x^n);

   

   > simplify(");

   

3. 

   > A:=Int(x^n*exp(a*x),x);

   

   > intparts(A,x^n);

   

   > simplify(");

   

Information on reduction formulas.