Question

<----- needs help

Answer 1

\[\huge \int\limits_{}^{}(1- \cot ^{2}x) dx \]

Answer 2

Do you remember your square identity?
Converting the cotangent to cosecant would make things a lot easier.

Answer 3

But it is 1 - cot^2 = cosec ^ 2

Answer 4

Hmm isn't this the identity?
\[\Large\rm 1+\cot^2x=\csc^2x\]

Answer 5

No i was talking about the question

Answer 6

So our problem has something a bit different,
we'd have to play around with the identity a bit...
Subtract 1,\[\Large\rm \cot^2x=\csc^2x-1\]Multiply -1,\[\Large\rm -\cot^2x=1-\csc^2x\]Add to each side,\[\Large\rm \color{royalblue}{1-\cot^2x=2-\csc^2x}\]

Answer 7

That last step was add `one`* to each side,
blah it got cut off somehow..

Answer 8

2x + cotx + C

Answer 9

Mmm yah I think that's right!

Answer 10

thank you !