1300 MATHS FORMULAS PDF
1300 MATHS FORMULAS PDF
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Topics Include In Formulas PDF Download
Common Integrals Formula PDF
 Basic Integration Formulas
 Integral of special functions
 Integral by Partial Fractions
 Integration by Parts
 Other Special Integrals
 Area as a sum
 Properties of definite integration
Basic Formula
 ∫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 2 x = cot x + C
 ∫sec x tan x = sec x + C
 ∫cosec x cot x = cosec x + C
 ∫e x = e x + C
 ∫a x = a x / log a + 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
Integrals of some special function s
 ∫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
 1.∫dx / √(a 2 – x 2 ) = sin1 x / a + c
 ∫dx / √(x 2 + a 2 ) = log ”x” + √(x 2 + a 2 ) + C
Integration by parts
∫() () = () ∫ () − ∫( ‘ () ∫() )
To decide first function. We use
I → Inverse (Example sin (1) x)
L → Log (Example log x)
A → Algebra (Example x 2 , x 3 )
T → Trigonometry (Example sin 2 x)
E → Exponential (Example e x )
E → Exponential (Example e x )
∫ex [f (x) + f ′(x)] dx = ∫ex f(x) dx + C