Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

How do you find the indefinite integral of #int cost/(1+sint)#?

1 Answer

Feb 8, 2017

#ln|sint + t| + C#

Explanation:

Let #u = sint + 1#. Then #du = cos t dt# and #dt = (du)/cost#.

#=>int cost/u * (du)/cost#

#=>int 1/u du#

#=>ln|u| + C#

#=>ln|sint + t| + C#

Hopefully this helps!

Related questions

See all questions in Integrals of Trigonometric Functions

Impact of this question

6363 views around the world

You can reuse this answer
Creative Commons License