what is integration, integral,permutation combination, differentiation
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#The process of finding a function, given its derivative, is called
integration
#Examples
F(x) =cos x is an anti-derivative of sin x, and ex is an anti-derivative of ex
#A combination is a selection of 0≤k≤n0kn elements from a set of nn elements. It is not shuffling, it's sampling.
#For example, if you have nn friends on Facebook and you want to invite 0≤k≤n0kn of them for a party, then the ones you select form a combination.
#A permutation of an ordered list of nn elements is an ordered list containing the same nn elements, but in a possibly different order
#if you think of a deck of cards in a given configuration as an ordered list, then a permutation of the deck is a rearrangement of the deck's configuration,
integration
#Examples
F(x) =cos x is an anti-derivative of sin x, and ex is an anti-derivative of ex
#A combination is a selection of 0≤k≤n0kn elements from a set of nn elements. It is not shuffling, it's sampling.
#For example, if you have nn friends on Facebook and you want to invite 0≤k≤n0kn of them for a party, then the ones you select form a combination.
#A permutation of an ordered list of nn elements is an ordered list containing the same nn elements, but in a possibly different order
#if you think of a deck of cards in a given configuration as an ordered list, then a permutation of the deck is a rearrangement of the deck's configuration,
john44:
hello aman can u include some examples
Answered by
2
Hi friend ,
Integration-the finding of integral or integrals is called integration.
When a function f(x) is known we can dierentiate it to obtain its derivative df dx. The reverse process is to obtain the function f(x) from knowledge of its derivative. This process is called integration.
______________________________________________________________
Applications of integration are numerous and some of these will be explored in subsequent Blocks. For now, what is important is that you practice basic techniques and learn a variety of methods for integrating functions.
______________________________________________________________
a function of which a given function is the derivative, i.e. which yields that function when differentiated, and which may express the area under the curve of a graph of the function is called integral.
______________________________________________________________a function satisfying a given differential equation.The symbol for integration,, is known as an integral sign
______________________________________________________________
Permutations - A permutation is an arrangement of objects in a definite
order.
______________________________________________________________
Combination-On many occasions we are not interested in arranging but only in selecting r objects from given n objects. A combination is a selection of some or all of a number of different objects where the order of selection is immaterial. The number of selections of r objects from the given n objects is denoted by nCr .
_____________________________________________________________
Differentiation- The essence of calculus is the derivative. The derivative is the instantaneous rate of change of a function with respect to one of its variables. This is equivalent to finding the slope of the tangent line to the function at a point.
____________________________________________________________
_________________________________________________thanks :)_____
Integration-the finding of integral or integrals is called integration.
When a function f(x) is known we can dierentiate it to obtain its derivative df dx. The reverse process is to obtain the function f(x) from knowledge of its derivative. This process is called integration.
______________________________________________________________
Applications of integration are numerous and some of these will be explored in subsequent Blocks. For now, what is important is that you practice basic techniques and learn a variety of methods for integrating functions.
______________________________________________________________
a function of which a given function is the derivative, i.e. which yields that function when differentiated, and which may express the area under the curve of a graph of the function is called integral.
______________________________________________________________a function satisfying a given differential equation.The symbol for integration,, is known as an integral sign
______________________________________________________________
Permutations - A permutation is an arrangement of objects in a definite
order.
______________________________________________________________
Combination-On many occasions we are not interested in arranging but only in selecting r objects from given n objects. A combination is a selection of some or all of a number of different objects where the order of selection is immaterial. The number of selections of r objects from the given n objects is denoted by nCr .
_____________________________________________________________
Differentiation- The essence of calculus is the derivative. The derivative is the instantaneous rate of change of a function with respect to one of its variables. This is equivalent to finding the slope of the tangent line to the function at a point.
____________________________________________________________
_________________________________________________thanks :)_____
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