1300 MATHS FORMULAS PDF

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1300 MATHS FORMULAS PDF

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Topics Include In Formulas PDF Download 

Common Integrals Formula PDF

  1. Basic Integration Formulas
  2. Integral of special functions
  3. Integral by Partial Fractions
  4. Integration by Parts
  5. Other Special Integrals
  6. Area as a sum
  7. 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 ) = sin-1 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









Topic Name:- 1300 MATHS FORMULAS PDF

No. Of Pages:- 338

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General Science Notes PDF

Math Notes PDF

English Notes PDF 

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