If you mean the the integral of sin(x2)dx, It can only be represented as an infinite series or a unique set of calculus functions known as the Fresnel Integrals (Pronounced Frenel). These functions, S(x) and C(x) are the integrals of sin(x2) ans cos(x2) respectively. These two integrals have some interesting properties. To find out more, go to: http://en.wikipedia.org/wiki/Fresnel_integral I hope this answers your question.
You'll want to understand the different techniques for different types of integrals. For instance, simple polynomials can be integrated very easily, whereas a product of functions has a special technique called "Integration by Parts" that is used to solve the integral. It simply depends on the format of the integrand (what is inside the integral).
No
The first thing that come up into my mind is numbers, calculation, integrals and derivatives
You could look at the length of the walk and use integrals to determine that.
Yudell L. Luke has written: 'Integrals of Bessel functions' -- subject(s): Bessel functions, Integrals 'The special functions and their approximations' -- subject(s): Approximation theory, Special Functions 'Inequalities for generalized hypergeometric functions' -- subject(s): Hypergeometric functions
The branch of mathematics that deals with the finding and properties of derivatives and integrals of functions.
There are two types of integrals: definite and indefinite. Indefinite integrals describe a family of functions that differ by the addition of a constant. Definite integrals do away with the constant and evaluate the function from a lower bound to an upper bound.
Jean Marie Defenbach has written: 'A review of several classical measure functions' -- subject(s): Generalized Integrals, Integrals, Generalized
Martti E. Pesonen has written: 'Dirichlet and energy integrals for kernels and resolvents' -- subject(s): Dirichlet Integrals, Kernel functions, Resolvents (Mathematics)
C. J. Everett has written: 'A curious function of Otto Frisch' -- subject(s): Mathematics, Functions of real variables 'Dirichlet integrals and a theory of marginal densities in space of dimension N > 2' -- subject(s): Density wave theory, Dirichlet Integrals, Integrals, Dirichlet, Wave functions 'A new method of sampling the Klein-Nishina probability distribution for all incident photon energies above 1 keV' -- subject(s): Mathematics, Distribution (Probability theory), Characteristic functions
I assume you mean ex ? If so, by definition: ∫ex dx = ex + C Most calculus textbooks have a table of integrals which will list the integrals of other common forms of exponential & logarithmic functions.
If you mean the the integral of sin(x2)dx, It can only be represented as an infinite series or a unique set of calculus functions known as the Fresnel Integrals (Pronounced Frenel). These functions, S(x) and C(x) are the integrals of sin(x2) ans cos(x2) respectively. These two integrals have some interesting properties. To find out more, go to: http://en.wikipedia.org/wiki/Fresnel_integral I hope this answers your question.
* What are the exponential equivalents of hyperbolics? * How do hyperbolics relate to standard trig functions? * What shape does cosh produce? * Why does cosh grow faster than sinh? * What are the derivatives and integrals of various functions?
Oh, dude, non-examples of rate of change would be like a sloth climbing a tree or a snail crossing the road. Basically, anything that moves at a glacial pace or doesn't change much over time would be a non-example of rate of change. So, yeah, like watching paint dry or waiting for your pizza delivery on a busy night – not exactly examples of speedy transformations.
The integral of x^x can not be expressed using elementary functions. In fact, this is true about many integrals.
Flux integrals, surface integrals, and line integrals!