Integration Flashcards
1
Q
for integration by parts, how do you assign u and dv/dx?
A
x^n term becomes u UNLESS there is lnx.
2
Q
How to integrate sin^x?
A
Use double angle formulae
3
Q
When working out areas that are under the x-axis, what happens to the integral?
A
Put a minus sign before square brackets.
4
Q
How to integrate secx?
A
Multiply secx/1 by secx + tanx
5
Q
When area underestimated, why?
A
Concave, so trapezia fall under
6
Q
When area overestimated, why?
A
Convex, so trapezia lie over
7
Q
Explain why increasing the number of values increases accuracy
A
Increasing number of values decreases interval. approximation follows curve more closely.