Thread: a couple integrals

1.


2.

3. if F(x)= find F'(16)

Hi, any help would be wonderful. I really need the explanation more than the answer, though.

1. Subsitute remember that

2. Subsitute

3. Define so that (1)
Now differentiate in (1) using the chain rule and remember that

What are your thoughts?

1. A substitution looks easy enough. u = ???

2. Begging for Integration by Parts if you want to learn something, but a simple substitution of everything under the radical might be a lot easier.

3. A derivative of an integral? Don't forget the Chain Rule. This one likely is ill-formed, Do you mean "dt"?

Let's see what you get.

Hello,

For the first one, a substitution u=cos(x) is quite a valid way to solve it too ^^

Originally Posted by Moo

Hello,

For the first one, a substitution u=cos(x) is quite a valid way to solve it too ^^

I would definitely follow this substitution. Follow PaulRS' advice on the 2nd integral.