Question

Integrate: xcotx^(2) dx

Answer 1

\[xcotx^2 dx\]

Answer 2

did you try the substitution x^2 = y ?

Answer 3

like u-substitution?

Answer 4

yeah,
so, x^2 =u
what's du=.... ?

Answer 5

2x

Answer 6

more precisely its
du = 2x dx
right ?
so, x dx = (du)/2
put this in your integral, what you get as new integral ?

Answer 7

(1/2u)(cotu)

Answer 8

oh okay so the final answer would be 1/2ln(sinx^(2))+c?

Answer 9

oh, did you mean (1/2)*du*cot u there ?
and yes, thats correct.

Answer 10

yeah sorry. i meant that.

Answer 11

1/2ln(sinx^(2))+c is correct :)

Answer 12

thanks for your help on this!

Answer 13

you are most welcome ^_^