The way I was taught to answer integrals:
Answer:
Unfortunately, you cannot just put that "x" into the integrand!
No, the derivative of is
Answer:
, not just
I doubt that you were taught that way!
Ted, I don't believe there is any way to do that other than either the trig or hyperbolic substitutions.
Of course, you could always look it up in a table of integrals. Does that count?
http://www.integral-table.com/