### Integration formulae

Online guide to certain topics on integration for isc, cbse , plus two etcPAGE 1 BASIC INTEGRATION

PAGE 2 INTEGRATION BY SUBSTITUTIONPAGE 3 INTEGRATION BY COMPLETION OF SQUARES

PAGE 4 INTEGRATION BY PARTS

PAGE 5 INTEGRATION BY MANIPULATION OF NUMERATOR IN TERMS OF DENOMINATOR

PAGE 6 INTEGRATION USING PARTIAL FRACTIONS

PAGE 7 INTEGRATION OF 1 / [ACOSX +BSINX +C]

### integral of 1 / [9 + 7 cos² x]

### integral of x^3 / sqrt(9 - x^2) using substitution

### integral of tan ² x secx using substitution

### integral of ln(x) using integration by parts

### evaluate ∫ [1 / {x lnx}]dx

integral of e^(2x) / sqrt [1 + e^(2x)]integral of ∫ { lnx / [x^4]} dx

### integral of [sin(lnx) ]/ x ² using substitution

integration using partial fraction### problem on integration using trigonometry formulae integral of sin(5x)sin(8x)

### integral of arc(cosx) using integration by parts

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Quadratic equationDifferential calculus

derivative of sqrt(3x) from first principles

if sqrt(x) + sqrt(y) = 1 find y" second derivative with implicit differentiation

equation of tangent to y =x^4 at the point where x=2

if sqrt(x) + sqrt(y) = 1 find y" second derivative with implicit differentiation

equation of tangent to y =x^4 at the point where x=2

equation of tangent at (e,e) on y = x lnx

equation of tangent at (0,4) on x(y^3)+y+7(x^4) = 4

equation of tangent at (0,4) on x(y^3)+y+7(x^4) = 4

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### solving a quadratic equation by graphing

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Trigonometry### trigonometric identities

if (A-B) = pi/4 show that (1+tanA)(1+tanB) = 2tanAtrigonometry problem : show that 1/(1-cosx) =(cscx+cotx)cscx

trigonometry problem :show that [( tanx -sinx ) / (2tanx) ] = sin² (x/2)

finding sin( arctan(2) )

exact vaue of sin(arctan(4/3)-arccos(12/13))

exact values of certain trigonometric ratio

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Logarithm### problem on changing the base of a log

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Complex

### integral using cauchy's integral formula

### real and imaginary parts of ln(x+iy)

### show that e^(ix) = cosx +i sinx using power series

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problem on sequences AP,GP ...### problem on sequences If Sn is the sum of the cubes of the first n natural numbers, find the sum of 1 / sqrt(Sn) where n varies from 1 to 2000

find the sum of all even natural numbers between 2 and 200 (both inclusive ) excluding the multiples of 3sum of n terms of a geometric progression 1 + 2 + 4 + 8 + 16 + ...

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problem on theory of equationssolving a fourth degree equation given one of its complex roots-------------------------------------------------------------------------------

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construction of truth tables logic

to construct truth tables for [~ (p ^ q ) ]v (~r)

to construct truth tables for [~ (p ^ q ) ]v (~r)

proof of boundedness law a+1 = 1 and idempotent law a+a=a in a boolean algebra

boundedness law in a boolean algebra

idempotent law in a boolean algebra

abstract algebra

groupsIf G is an abelian group ,

let f : G -->G be defined by f(x) = xֿ¹ show that f is an automorphism on G problem on automorphism on abelian group

If G is a group and f :G -->G is defined as f(x) = a ֿ¹ x a for x in G and a is a fixed element of G

then show that f is an isomorphism of G onto G problem on automorphism in a group

analytical geometry

### centre and radius of a circle

correlation and regression

### derivation of regression line of y on x

### limits for the correlation coefficient

### changing recurring decimal to fraction

### derivation of mean and variance of binomial distribution

derivation of mode of the binomial distribution----------------------------------------

### approximation of an integral using binomial series

### mclaurin's power series for ln(1+x)

word problem A man has 10 paise and 25 paise coins in his purse. The man has a total of 60 coins which amount to Rs. 8.25.

How many 10 paise and 25 paise coins does the man have in his purse? solution

How many 10 paise and 25 paise coins does the man have in his purse? solution

The ratio of the incomes of two persons is 9:7 and the ratio of their expenditures is 4:3 . If each of them saves Rs.200/- per month, find their monthly incomes. solution

X can do a piece of work in 2 hours, while Y can do the same piece of work in 4 hours.What is the time taken if X and Y do the work together? solution

X can do a piece of work in 2 hours, while Y can do the same piece of work in 4 hours.What is the time taken if X and Y do the work together? solution

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index of math problems

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