Integration Flashcards
1
Q
Integrate x^n
A
( x^(n+1)/ n+1 ) + c
2
Q
Integrate e^x
A
e^x + c
3
Q
Integrate 1/x
A
ln |x| + c
4
Q
Integrate cosx
A
sinx + c
5
Q
Integrate f(ax + b)
A
= (1/a) f (ax + b) + C
6
Q
How to integrate sin3xcos3x
A
Double angle formula
To get 0.5sin6x - as we can integrate this from our knowledge
7
Q
Integrate tan^2 x
A
Use tan^2x + 1 = sec^2x
8
Q
What are the 3 steps using parametric equations to find area under curve?
A
- Find dx/dt
- Change range - x to t
- Integrate (in terms of t)
9
Q
Integrate lnx
A
xlnx - x + c
LEARN
Using integrate by parts, u=lnx , dv = 1