Table of Contents
What is the value of Sinx at infinity?
We know that the value of sine function lies between -1 to 1. Hence whatever be the value of sin x at infinity it will lie between -1 and 1 . More precisely there will not be any particular value the value of sin x at infinity will oscillate between -1 to 1.
What is integration of Sinx?
The integral of sin x is -cos x + C. It is mathematically written as ∫ sin x dx = -cos x + C. Here, C is the integration constant.
Does Sinx have a limit?
The sine function oscillates from -1 to 1. Because of this the limit does not converge on a single value. which means the limit Does Not Exist.
What is the integral of sin(x)/x from 0 to infinity?
Integral of sin (x)/x from 0 to infinity. In red: f ( x )=sin ( x )/ x; in blue: F ( x ). Today we have a tough integral: not only is this a special integral (the sine integral Si ( x )) but it also goes from 0 to infinity! Since this is a special integral, there is no elementary antiderivative and therefore we can’t simply plug the bounds into
What is f(x) = sin(x)?
In red: f ( x )=sin ( x )/ x; in blue: F ( x ). Today we have a tough integral: not only is this a special integral (the sine integral Si ( x )) but it also goes from 0 to infinity!
What is the elementary antiderivative of the sine integral?
Today we have a tough integral: not only is this a special integral (the sine integral Si ( x )) but it also goes from 0 to infinity! Since this is a special integral, there is no elementary antiderivative and therefore we can’t simply plug the bounds into the result; this means none of the techniques we know of will work.
Is the integral cos(0)-cos(x) converging?
The integral is not converging, since cos (0)-cos (x) has no limit at ∞. There are some tricks that allow to assign some value to this integral, but they depend on the context in which this integral shows up.