Two integrals that I don't know how to solve

  • Thread starter vsportsguy
  • Start date
  • #1

Homework Statement


There are two integrals that I don't know how to solve. I'm fairly certain the preceding work that led me to these integrals is correct.


Homework Equations


1. ∫sin (x) / (csc (x) + cot (x))
2. ∫x^(2) / (1 - x)


The Attempt at a Solution


U substitution didn't work for either integral. Is integration by parts the correct way to go?

Thank You
 

Answers and Replies

  • #2
35,139
6,892


Homework Statement


There are two integrals that I don't know how to solve. I'm fairly certain the preceding work that led me to these integrals is correct.


Homework Equations


1. ∫sin (x) / (csc (x) + cot (x))
2. ∫x^(2) / (1 - x)


The Attempt at a Solution


U substitution didn't work for either integral. Is integration by parts the correct way to go?

Thank You

Integration by parts is NOT the way to go!

Also, don't forget the "dx". As the integrals get more complicated, omitting this symbol will definitely cause problems.

For the first integral, use the basic trig identities to get everything in terms of sine and cosine.

For the second, one approach is to use polynomial long division to divide x2 by 1 - x. Or, you can write x2/(1 - x) as (x2 - 1 + 1)/(1 - x), and split into two integrals.
 

Related Threads on Two integrals that I don't know how to solve

  • Last Post
Replies
1
Views
1K
Replies
14
Views
2K
  • Last Post
Replies
2
Views
1K
P
Replies
5
Views
5K
  • Last Post
Replies
3
Views
1K
Replies
3
Views
1K
  • Last Post
Replies
3
Views
1K
Replies
17
Views
6K
Top