Recent content by ermac

Homework Statement A question gives the problem find the two arithmetic means between 4 and 19. The answer is 9 and 14. Homework Equations (a1+a2+a3+an)/n The Attempt at a Solution Logic would dictate that the arithmetic mean would be adding 4 and 19 then dividing by two. Leaving...

Thank you for the help.

Would the constant in this case be 2x? Oh wait, could 1/2ln|sec(2x)|+C, remove the 2 in front of the tan^2(2x)?

Sorry about my guess and check, but would that two essentially come out to the front because of the chain rule, making it 2ln|sec(2x)|+C?

So, no changing into different trig functions or anything like that? Just ln|sec(2x)|+C?

I'm sorry, but what two did I flip?

Homework Statement ∫tan^2(2x)/sec2x dx; u=sec2x; du=1/2tan^2(2x)dx. Homework Equations ∫1/x(dx)-ln|x|+C. ∫1/u(du)=ln|u|+C The Attempt at a Solution This is me trying to rewrite the equation. (sin^2(2x)/cos^2(2x))/(1/cos2x), (sin^2(2x))/(cos(2x)). Honestly, I feel lost trying to...