Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

How do you integrate #int cot^2xdx#?

1 Answer

Dec 1, 2016

#-cotx-x+C#

Explanation:

the identity#" "1+cot^2x=csc^2x" "#is used.

#cot^2x=csc^2x-1#

#intcot^2xdx=int(csc^2x-1)dx#

#=intcsc^2xdx-intdx#

#=-cotx-x+C#

Related questions

See all questions in Integrals of Trigonometric Functions

Impact of this question

73117 views around the world

You can reuse this answer
Creative Commons License