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[PDF] Math Shortcut Tricks- Differentiation Integration in Calculus Formulas | Practice Sets | Books

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Calculus Notes

Integration and Differentiation Formuls | Practice sets | MCQs | Books | Mock Test | PDF download

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

Differentiation Basic Formulas

Differentiation Formulas

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