I really don't know how to evaluate this! I cant get it into the form of any of the inverse trig functions. Im trying to learn the trig substitution method. Could this work on this? Would the trig sub method ever work if the integral was in the form of
What method do I use to solve this?
Thank you very much
Heres what I've tried so far
now, I have
How am I supposed to remove whats in that root? Regardless of what trig function I use, there is always going to be a negative number in it!
Where do I go from here?
Relative simplicity isn't always objective. Are you trying to get an online program to validate your answer? You could use
instead of your
or the other slight variation here integrate sqrt(4x - x^2) - Wolfram|Alpha, 'show steps'. (In fact it does some more alarming or at any rate less simple versions at the end.)
Oh, have you included an integration constant?