Toronto Math Forum
Welcome,
Guest
. Please
login
or
register
.
1 Hour
1 Day
1 Week
1 Month
Forever
Login with username, password and session length
News:
Home
Help
Search
Calendar
Login
Register
Toronto Math Forum
»
MAT244--2018F
»
MAT244--Lectures & Home Assignments
»
Integral Methods for Test 1
« previous
next »
Print
Pages: [
1
]
Author
Topic: Integral Methods for Test 1 (Read 1829 times)
Keanu Uchida
Newbie
Posts: 4
Karma: 0
Integral Methods for Test 1
«
on:
October 13, 2018, 05:12:29 PM »
Which integrals from the 'integration methods' handout should we know from the test?
Are we supposed to know, say, how to integrate `Special Irrational Function II` that contains a root of a quadratic polynomial?
Logged
Victor Ivrii
Administrator
Elder Member
Posts: 2607
Karma: 0
Re: Integral Methods for Test 1
«
Reply #1 on:
October 13, 2018, 06:22:11 PM »
All antiderivatives you are supposed to know
http://www.math.toronto.edu/courses/mat244h1/20189/LN/antiderivatives.pdf
Logged
Keanu Uchida
Newbie
Posts: 4
Karma: 0
Re: Integral Methods for Test 1
«
Reply #2 on:
October 13, 2018, 08:07:49 PM »
Well this is actually not what I'm asking. Obviously, we are expected to know these antiderivatives but I'm asking about integration methods that involve simplifying more complex functions into things that can be integrated more easily (with this table of antiderivatives).
For instance:
Which rational functions will we have to know to decompose before integrating?
We will be expected to evaluate trigonometric polynomials cos^m(x)sin^n(x) for n greater than 1? I think that the answer is yes and that is not information available on the antiderivative sheet.
Will we have to evaluate Trigonometric Rational Functions?
This is not answered on the sheet of antiderivatives.
Logged
Victor Ivrii
Administrator
Elder Member
Posts: 2607
Karma: 0
Re: Integral Methods for Test 1
«
Reply #3 on:
October 13, 2018, 08:48:16 PM »
All rational functions for sure.
$\cos^m(x)\sin^n(x)$ for all $m\ge 0, n\ge0$.
Logged
Print
Pages: [
1
]
« previous
next »
Toronto Math Forum
»
MAT244--2018F
»
MAT244--Lectures & Home Assignments
»
Integral Methods for Test 1