Week 5 Flashcards
1
Q
Top heavy integral?
A
-polynomial division
2
Q
How to integrate quadratic denominator with negative discriminant?
A
-complete square and sub tan to make denominator in terms of sec^2
3
Q
Double angle formula?
A
Cos^2θ = ½(1+cos2θ)
Sin 2θ=2sinθcosθ
4
Q
How to integrate quadratic denominator with linear top?
A
-rearrange so first term’s numerator is derivative of initial denominator and add or subtract excess of constant
5
Q
Integration by parts?
A
∫ f(x) g’(x) = f(x)g(x) - ∫f’(x)g(x)
6
Q
When can we do partial fractions?
A
when discriminant is positive
7
Q
Difference between RREF
A
column that has leading 1 has 0’s elsewhere in the column
8
Q
How to calculate inverse?
A
- A x B = identity matrix
where b is inverse
