Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

What is #int sec^2(5x) dx #?

1 Answer

Feb 11, 2016

#intsec^2(5x)dx = 1/5tan(5x)+C#

Explanation:

Noting that #d/dx tan(x) = sec^2(x)#

Let #u = 5x => du = 5dx => dx = 1/5du#

#intsec^2(5x)dx = intsec^2(u)/5du#

#=1/5intsec^2(u)du#

#=1/5tan(u)+C#

#=1/5tan(5x)+C#

Related questions

See all questions in Integrals of Trigonometric Functions

Impact of this question

5859 views around the world

You can reuse this answer
Creative Commons License