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No, all functions are not Riemann integrable
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What is the integral of sinx2?
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.
How do you do integrals?
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).
Is integrals an antonym for apply?
No
What comes to mind when you hear the word calculus?
The first thing that come up into my mind is numbers, calculation, integrals and derivatives
Applying calculus to walking the dog?
You could look at the length of the walk and use integrals to determine that.
What has the author Yudell L Luke written?
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
WHO definition of calculus?
The branch of mathematics that deals with the finding and properties of derivatives and integrals of functions.
How does integral differ from a normal integral?
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.
What has the author Jean Marie Defenbach written?
Jean Marie Defenbach has written: 'A review of several classical measure functions' -- subject(s): Generalized Integrals, Integrals, Generalized
What has the author Martti E Pesonen written?
Martti E. Pesonen has written: 'Dirichlet and energy integrals for kernels and resolvents' -- subject(s): Dirichlet Integrals, Kernel functions, Resolvents (Mathematics)
What has the author C J Everett written?
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
How do you integrate e?
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.
What is the integral of sinx2?
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 some questions about hyperbolic functions?
* 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?
Integration of x power of x?
The integral of x^x can not be expressed using elementary functions. In fact, this is true about many integrals.
What are non examples of rate of change?
Integrals of functions are non-examples of rates of change.
Give three examples of calculus in chemical engineering?
Flux integrals, surface integrals, and line integrals!
