# 1300 MATHS FORMULAS PDF

## 1300 MATHS FORMULAS PDF

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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

General Science Notes
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