Integral formulas Flashcards
be able to define integral fomulas
1
Q
∫f(x) dx = ??
A
f(x)’ + c
2
Q
∫dx = ??
∫dy = ??
A
x + c
y + c
3
Q
∫a dx = ?? (a = constant)
A
a ∫dx
= ax + c
4
Q
∫ [ f₁ (x) ± f₂ (x) ] dx = ??
A
∫ [ f₁ (x) ]dx ± ∫ [f₂ (x) ]dx + c
[you can seperate the two functions into two integral equations]
5
Q
general power formula
∫ uⁿ du = ??
A
u^n+1 / n+1 + c
[n cannot equal -1]
6
Q
what do you have to add at the end of every integration?
A
+c [constant]
7
Q
Integration of Log functions formula
∫ du/ u = ??
A
ln | u| = c
8
Q
Integration of exponential functions formula
∫ eᵘ du = ??
A
eᵘ + c
9
Q
Integration of exponential functions formula
∫ aᵘ du = ??
A
aᵘ/ ln a + c
10
Q
∫sin u du
A
-cos u + c
11
Q
∫cos u du
A
sin u + c
12
Q
∫sec^2 u du
A
tan u + c
13
Q
∫csc^2 u du
A
-cot u + c
14
Q
∫sec u tan u du
A
sec u + c
15
Q
∫csc u cot u du
A
-csc u + c
