Speed Mathamatics

By Naila Hina and Vishal Bhatia

Speed Mathamatics

By Engr. Dr. Naila Hina PAKISTAN

And Vishal Bhatia, MSc Finance, London School Of Economics, Class Of 1998

Learn Speed Mathamatics in two hours!

Foreword By Manjul Bhargava. Professor of mathematics at Princeton university, Hyderabad university etc.

Easy and fastest solution to every problem in Mathamatics, Algebra, Trigonometry etc.

• Language: English
• Publisher: Engineer Naila Hina
• Release date: Nov 16, 2022
• ISBN: 9798215320044

Book preview

The *Division Sign ÷* less than 400 years old

■ Called an *OBELUS*, Plural obelii

■ Obelus is *Greek for a Sharpened Stick*

■ 1st used in Maths by Swiss Mathematician, *Johann Rahn* in *1659*

■ On computers, the division sign is /, also known as the *Solidus or Virgule*

■ In the world of Typography, an Obelus is also written as a dagger to represent omitted text

Partial Fractions

Repetition of Linear Factor

∫▒DX/((X+1)〖(X+2)〗^2 )  = ∫▒〖A/((x+1) ) dx〗  +  ∫▒B/((x+2)) dx  + ∫▒〖C/〖(x+2)〗^2  dx〗

VISHAL BHATIA

MSc Finance,

The London School of Economics, Class of 1998

Background

UNLIKE DIFFERENTIAL Calculus, wherein we have a method to differentiate functions in Quotient Form d/dx u/v ,=  (vdu/dx-udv/dx)/v^2  there is no such direct method to solve for Integrands in Fractional Forms.

HOWEVER SUCH INTEGRANDS can be split into multiple integrands in the form of  (f^’ (x))/(f(x)) and whose Integral is ln| f(x) | + C

THE SPLITTING UP PROCESS is called splitting up a Compound Fraction into Partial Fractions.

PLEASE READ HALL AND Knight’s Higher Algebra book to understand Partial