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Differentiation and Integration Important Formulas (Advance Math)
Integration Basic Formulas
- ∫cosec 2 x = -cot x + C
- ∫sec x tan x = sec x + C
- ∫x n = x n+1 /n+1 + C
- ∫cos x = sin x + C
- ∫sin x = -cos x + C
- ∫sec 2 x = tan x + C
- ∫cosec x cot x = -cosec x + C
- ∫dx/√ 1- x 2 = sin -1 x + C
- ∫dx/√ 1- x 2 = -cos -1 x + C
- ∫dx/x √ x 2 – 1= sec -1 x + C
- ∫dx/x √ x 2 – 1= cosec -1 x + C
- ∫1/x = log |x| + c
- ∫tan x = log |sec x| + c
- ∫cot x = log |sin x| + c
- ∫sec x = log |sec x + tan x| + c
- ∫cosec x = log |cosec x – cot x| + c
- ∫dx/√ 1+ x 2 = tan -1 x + C
- ∫dx/√ 1+ x 2 = -cot -1 x + C
- ∫e x = e x + C
- ∫a x = a x / log a + C
Integrals of some special functions (Advance Math)
- ∫dx / √(x 2 – a 2 ) = log |”x” + √(x 2 -a 2 )| + C
- 1.∫dx / √(a 2 – x 2 ) = sin-1 x / a + c
- ∫dx/(x 2 – a 2 ) = 1/2a log |(x – a) / (x + a)| + c
- ∫dx/(a 2 – x 2 ) = 1/2a log |(a + x) / (a – x)| + c
- ∫dx / (x 2 + a 2 ) = 1/a tan (-1) x / a + c
- ∫dx / √(x 2 + a 2 ) = log |”x” + √(x 2 + a 2 )| + C
