00:01
I think the biggest thing for this function, and finding its antiderivative, is recognizing that the 2 squared of x could be written with a rational exponent.
00:13
That's a 6 cosine of x.
00:15
What do i mean is this is actually equal to 2x to the 1ā2 power, and there's nothing to do with this other function.
00:23
But when i go to the derivative, anti -derivative, excuse me, is i like to add one to my exponent so it becomes three halves.
00:30
And then instead of dividing by three halves, just multiply by the reciprocal.
00:36
And then for this piece, that's six.
00:38
You can't really do anything.
00:39
It's just a constant and goes along.
00:41
And i think about how the derivative of sign is cosine.
00:45
And then don't forget about a plus c.
00:48
Now, of course, you can simplify this a little bit because those twos over here would cancel...