Pure Flashcards
1
Q
When using the trapezium rule, why does an increase in the number of ordinates increase accuracy of the approximation?
A
With increasing ordinates, the line segments at the top of the trapezia are closer to the curve.
2
Q
∫sec^2x dx
A
tanx + c
3
Q
∫secxtanx dx
A
secx + c
4
Q
∫cosec^2x dx
A
-cotx + c
5
Q
∫cosecxcotx dx
A
-cosecx + c
6
Q
1+cot^2x =
A
cosec^2x
7
Q
Meaning of Z?
A
Integers
8
Q
Meaning of N?
A
Natural numbers (positive integers)
9
Q
Meaning of Q?
A
Rational numbers
10
Q
Meaning of R?
A
Real numbers
11
Q
Meaning of Zo+?
A
Non-negative integers (0, 1, 2, 3, …
