I have the following function defined in Maple: $$ f(x) := (2 - a + ax^2) \sqrt{1 + 4a^2x^2} $$ And I want to calculate the definite integral of this from -1 to 1: $$ \int_{-1}^{1}{f(x)dx} $$ I do that by writing the command:
> int(f(x), x=-1..1)
However, Maple returns a result that contains the variable $x$: $$ -(1/4)*(-4*sqrt(4*a^2+1)*ax^2*a*csgn(a)+4*sqrt(4*a^2+1)*a^2*csgn(a)-8*sqrt(4*a^2+1)*a*csgn(a)+ln((sqrt(4*a^2+1)*csgn(a)-2*a)*csgn(a))*ax^2-ln((sqrt(4*a^2+1)*csgn(a)+2*a)*csgn(a))*ax^2-ln((sqrt(4*a^2+1)*csgn(a)-2*a)*csgn(a))*a+ln((sqrt(4*a^2+1)*csgn(a)+2*a)*csgn(a))*a+2*ln((sqrt(4*a^2+1)*csgn(a)-2*a)*csgn(a))-2*ln((sqrt(4*a^2+1)*csgn(a)+2*a)*csgn(a)))*csgn(a)/a $$
Did I do something wrong? This is my first time using Maple.