Common Intergrals Flashcards
1
Q
∫ xⁿ dx
A
xⁿ⁺¹/n+1 + c
1
Q
∫ 1/x dx
A
ln|x| + c
2
Q
∫ sin(x) dx
A
-cos(x) + c
3
Q
∫ cos(x) dx
A
sin(x) + c
4
Q
∫ eˣ dx
A
eˣ + c
5
Q
∫ tan(x) dx
A
-In|cos(x)| + c
6
Q
∫ cos(πx) dx
A
sin(πx)/π + c
7
Q
∫ cot(x) dx
A
In|sin(x)| + c
8
Q
∫ sec(x) dx
A
In|sec(x) + tan(x)| + c
9
Q
∫ csc(x) dx
A
In|csc(x) - cot(x)| + c
10
Q
∫ ln(x) dx
A
xlnx - x + c
11
Q
∫ sin(x)cos(x) dx
A
sin²(x)/2 + c
-cos²(x)/2 + c
12
Q
∫ sin(x)tan(x) dx
A
In|sec(x) + tan(x)|- sin(x) + c
13
Q
A
14
Q
Integration By Parts
A
∫ u(dv) = uv - ∫ v(du)
