Integration formulas Flashcards Preview

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Flashcards in Integration formulas Deck (16)
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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

16
Q

∫ ln x dx = ?

A

∫ ln x dx = x ln x - x + c