Have a question about integrals

[kevinf]

Homework Statement

integrate (tan4x)^2.

Homework Equations

The Attempt at a Solution

i have tried the box method but it won't work. i have also been told to do the integral b parts using dv, v, u, and du. i have heard of that method but the teacher insists on teaching the box method. is it possible with the box method.

 

[rocomath]

$$\int\tan^{2}{4x}dx$$

yes? ima start working on it. idk what the box method is. also, show some work or i won't post anything if i even get anywhere, lol.

 

[kevinf]

i have tried to convert that to the sin over cos and then integrating but i don't have any idea what to do after that

 

[rocomath]

dope! trig identity ...

 

[kevinf]

anybody else got it?? i really just want the steps getting to the answers not necessarily the answer

 

[rock.freak667]

Hmmm...remember $$sec^2A=1+tan^2A$$ so if ever A=4x ...you can replace tan$$^2$$4x with sec

 

[rocomath]

i told you!

$$\int\tan^{2}{4x}dx=\int(\sec^{2}4x-1)dx$$

 

[PowerIso]

I'm simply wondering, what is the box method? I never heard of it.

 

[rocomath]

I'm simply wondering, what is the box method? I never heard of it.

maybe it's the table method?

 

[transgalactic]

here is my answer in the file

i have added a file with my solution

 

[rocomath]

your picture will have to be approved

just post a link

 

[transgalactic]

where can i upload it or an email address to send it?

you can also contact me using icq: 466921864

i will send it to you