Integration formulas Flashcards
1
Q
∫1/x dx = ?
A
∫1/x dx = ln|x| + c
2
Q
∫sin x dx = ?
A
∫sin x dx = -cos x + c
3
Q
∫cos x dx=s ?
A
∫cos x dx=sin x + c
4
Q
∫tan x dx = ?
A
∫tan x dx = -ln |cos x| + c
5
Q
∫cot x dx = ?
A
∫cot x dx = ln |sin x| + c
6
Q
∫sec x dx = ?
A
∫sec x dx = ln |sec x + tan x|+c
7
Q
∫cos x dx = ?
A
∫cos x dx = ln |cos x - cot x| + c
8
Q
∫1/(x²+a²) dx = ?
A
∫1/(x²+a²) dx = 1/a arctan x/a + c
9
Q
∫ 1/(√a²-x²) dx =?
A
∫ 1/√a²-x² dx = arcsin x/a+ c
10
Q
∫ 1/ (√x²+a²) = ?
A
∫ 1/ (√x²+a²) = arcsin x/a + c
11
Q
∫ 1/(√x²-a²) =?
A
∫ 1/(√x²-a²) = arccosh x/a + c
12
Q
∫ sin² x dx =?
A
∫ sin² x dx = 1/2x - 1/4 sin 2x + c
13
Q
∫ cos² x dx =?
A
∫ cos² x dx = 1/2x + 1/4 sin 2x + c
14
Q
∫ tan² x dx = ?
A
∫ tan² x dx = tan x - x + c
15
Q
∫ cot² x dx = ?
A
∫ cot² x dx = -cot x - x + c
