Use substitution to evaluate the integral

Click For Summary

Homework Help Overview

The discussion revolves around evaluating the integral of the function ∫√(cotx) csc^(2)x dx using substitution. The subject area is calculus, specifically focusing on integration techniques.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the challenges of dealing with the square root in the integral and consider the derivative of cot(x) as a potential basis for substitution.

Discussion Status

The discussion is ongoing, with participants exploring different aspects of the problem. Some guidance has been offered regarding the derivative of cot(x) and its relevance to the substitution process.

Contextual Notes

One participant expresses uncertainty about how to approach the square root in the integral, indicating a potential gap in understanding or information needed to proceed.

Inept
Messages
5
Reaction score
0

Homework Statement



Use substitution to evaluate the integral

Homework Equations



∫√(cotx) csc^(2)x dx?
 
Physics news on Phys.org
i tried, but i really have no idea what to do with the sqrt
 
What's the derivative of cot(x)? What do you think your substitution should be based on that?
 
i feel stupid.
thanks
 

Similar threads

Integrals that keep me up at night
  • · Replies 22 ·
Replies
22
Views
3K
Integral using substitution x = -u
  • · Replies 12 ·
Replies
12
Views
2K
Can I Use Substitution to Prove the Residue Theorem Integral?
  • · Replies 5 ·
Replies
5
Views
2K
U-Substitution in trig integral
  • · Replies 3 ·
Replies
3
Views
3K
Finding the Value of an Integral with U-Substitution
  • · Replies 2 ·
Replies
2
Views
2K
Integrating [(x^2+3)/(x^8+x^6)] dx by Substitution
  • · Replies 4 ·
Replies
4
Views
2K
Line Integral Solution for Curve γ: Simplifying Substitutions
  • · Replies 6 ·
Replies
6
Views
1K
How can I solve this standard integral using substitution?
  • · Replies 6 ·
Replies
6
Views
2K
How to Solve Basic Integration Problems Using Substitution and Partial Fractions
  • · Replies 5 ·
Replies
5
Views
1K
Integrate [cosec(30°+x)-cosec(60°+x)] dx in terms of tan x
  • · Replies 3 ·
Replies
3
Views
2K