Do can you tell when you can use the substitution method? I just tried it on , but I don't get the right answer unless I square the and then proceed normally.
What about substitution on ?
Do can you tell when you can use the substitution method? I just tried it on , but I don't get the right answer unless I square the and then proceed normally.
What about substitution on ?
Hello,Originally Posted by cinder
to 1.:
use u(x) = 2x+3. Then du/dx = 2. That means du = 2*dx.
So you could use the substitution method if there are the factor 2:
Now you can re-substitute and you'll get:
to 2.:
Factorize (x^2-1) = (x+1)(x-1). Then you can cancel (x-1) and you'll get:
.
From here on you know what to do!
Greetings
EB
Yes, that what means, a function in terms of whose derivative gives you whatever the function is. Or another way of saying the antiderivative in terms of . That is the entire point of substitution because it simplifys the integrand into a simpler one.Originally Posted by cinder