Integration of a factored quadratic: ![]()
We don't have a rule for a product like this, so let's simplify the expression by completing the multiplication:
![]()
We can use the Sum rule for integrals to get
![]()
Now we can use the Scalar Multiple rule for integrals to get
![]()
Now we can use the Power rule for integrals:

Test Problem: Find ![]()
a) ![]()
b) ![]()
c) 
d) ![]()
e) 
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