Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

Question #4d0b1

1 Answer

Mar 1, 2017

#int(sin^3x+cos^3x)/(sin^2 (2x) )dx#

#=int(sin^3x+cos^3x)/(2sinxcosx)^2 dx#

#=1/4(int(sin^3x/(sin^2xcos^2x)+cos^3x/(sin^2xcos^2x) )dx#

#=1/4(intsecxtanxdx+intcosx/sin^2xdx)#

#=1/4(intsecxtanxdx+intcotxcosecxdx)#

#=1/4(secx-cosec)+c#

c = integration constant

Related questions

See all questions in Integrals of Trigonometric Functions

Impact of this question

1194 views around the world

You can reuse this answer
Creative Commons License