collection of problems in integration, differentiation, areas, volumes, trigonometry, matrices, limits

Calculus
problems on integration ------------------------ integration

problems on application of integration like
area, volume, arc length etc ------------------------integration application

problems on differential equations ------differential equation

problems on differentiation------------------------ differentiation

problems on limits ------------------limits

problems on matrices --------------matrices

problems on trigonometry ------trigonometry


-----------------------------------------------------------
please leave your comments below
------------------------------------------------------------
index of math problems


disclaimer:
There is no guarantee about the data/information on this site. You use the data/information at your own risk. You use the advertisements displayed on this page at your own risk.We are not responsible for the content of external internet sites. Some of the links may not work

volume using integral calculus

volume using integral calculus
Volume of the solid obtained by revolving the shaded region about the x-axis is

solved problems on finding volume of solid of revolution using integration

volume of the solid obtained by revolving the ellipse ( x² / a²) + ( y² / b²) = 1 about the x axis


volume of the solid obtained by revolving the cardioid r = a(1 + cosθ ) about the initial line

volume of the spindle shaped solid obtained by revolving the
hypocycloid x^(2/3) + y^(2/3) =a^(2/3) about the x axis.

integral of (secx)^4

integral of (secx)^4

split into( sec²x )( sec²x )

change one of the factors into 1+ tan²x
split into two integrals
one is a direct formula integration formulae

for the other integral use substitution method
-----------------------------------------------------------
please leave your comments below
------------------------------------------------------------
index of math problems


disclaimer:
There is no guarantee about the data/information on this site. You use the data/information at your own risk. You use the advertisements displayed on this page at your own risk.We are not responsible for the content of external internet sites. Some of the links may not work

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

integral of x^3 / sqrt(9 - x^2) using substitution
use the substitution t^2 = 9 -x^2 and try to manipulate the numerator as x^2 * xdx

Integration formulae

-----------------------------------------------------------
please leave your comments below
------------------------------------------------------------
index of math problems


disclaimer:
There is no guarantee about the data/information on this site. You use the data/information at your own risk. You use the advertisements displayed on this page at your own risk.We are not responsible for the content of external internet sites. Some of the links may not work

Integration formulae

note that ln(x) refers to natural log, that is log to the base e
Integration formulae of functions like
x^n , e^(ax ) exp(ax), sin(ax), cos(ax), tan(x), 1 / sqrt(a^2 - x^2), 1 / (a^2 - x^2) ...

integration guide on certain topics

PAGE 1 BASIC INTEGRATION
 
PAGE 2 INTEGRATION BY SUBSTITUTION

 PAGE 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]


-----------------------------------------------------------
please leave your comments below
------------------------------------------------------------
index of math problems


disclaimer:
There is no guarantee about the data/information on this site. You use the data/information at your own risk. You use the advertisements displayed on this page at your own risk.We are not responsible for the content of external internet sites. Some of the links may not work

problem on integration using trigonometry formulae

evaluate integral of sin(5x)sin(8x)
first use the trigonometric formulae for sinAsinB to split the integral into two terms
it is easy to use the bigger angle as A
-----------------------------------------------------------
please leave your comments below
------------------------------------------------------------
index of math problems


disclaimer:
There is no guarantee about the data/information on this site. You use the data/information at your own risk. You use the advertisements displayed on this page at your own risk.We are not responsible for the content of external internet sites. Some of the links may not work