Intergration Flashcards
1
Q
Integrate e^x
A
Diffentiate power divide by the derivative.
E.g ∫e^4x =1/4(e^4x) + c
2
Q
Integrate A^x
A
A^x/LnA
3
Q
Reverse Bracket rule
A
Add 1 to the power
Divide by new power
Divide by derivative of bracket
4
Q
Integrate SinX
A
-CosX
5
Q
Integrate -CosX
A
-SinX
6
Q
Integrate -SinX
A
Cos X
7
Q
Integrate CosX
A
SinX
8
Q
Integrate 2^3x
A
2^3x/3Ln(2)
9
Q
Integrate cos(x/2)
A
2sin(x/2)+c
10
Q
Integrate Sin2x
A
-1/2cos2x+c
11
Q
Integration by parts forumla
A
∫ uv’ dx = uv - ∫ vu’ dx
12
Q
What is the Acronym to Decide what is U and What is V’ in integration by parts
A
L(Logs)
A(Algebra)
T(Trig)
E(exponential)
The one that appears earlier is U and the one that appears later is V’
