How do you integrate f(x)=ln(lnx)+1(lnx)2?

Answer 1

Hello, I’m happy to help! So it looks like you are adding two functions together. The first is ln(ln(x)), so let’s start there. Because you are adding two functions, we can integrate them separately.

To integrate this, you’ll need to use Integration By Parts. Try letting u = ln(ln(x)) and dv = 1 dx and then apply the integration by parts formula.

For the second function, I’m a little confused and hope you can clarify. Is the 1(lnx)2 supposed to just be 1*ln(x)²?

If so, you will need Integration By Parts again.

Let u = (ln(x))² and dv = 1 dx and then use the formula.

Let me know if this helps or if you have any more questions!