MTH101 Formulas by Muhammad Ayaz

r2  x2

x  g '(x) 

n1 Formulaof Newton method  xn1  xn f (xn )

f '(xn )

n Formulaof Addingk 

k 1

n Formulaof squarek 2 

k 1 n(n 1)

n(n 1)(2n 1)

n  n(n 1)  Formulaof cubek 3   formula of

k 1

Integration formula b  f (x)dx

a formula of

Formulaof Area  lim  f (xk *)

x k 1

b b Formulaof first fundemental theorem   f (x)dx  F (x)

a a

Formulaof Disk b   f x 2 dx

a

Formulaof b sec ond fundemental theorem  dx f (x)dx

a

b formula sphereof Radius v   b 2 dx

Formula of Area of a Region   f (x)  g(x)

a a 

b formulavolumeof solid v     f (x) 2 )dx

a

b formula of surface Area  2 f (x)

a 1 f '(x) 2 dx

Formulaof Disk L Hopital rule lim  f '(x) 

Formulaof sequence number 2n

Formulaof Re cursive sequence number  an 1  1  an  3 , n  1

an

Formulaof Ratio test  an 1

an n solid Generated v     f (x) b 

 f (x) )dx 2 

a

b cylindrical shells  2 xf (x)dx a