sin-x-x-dx-

Question Number 102911 by I want to learn more last updated on 11/Jul/20

\int \frac{\sin (x)}{x} dx

Commented by prakash jain last updated on 11/Jul/20

This question has been asked so many

times . Among most recent is Q 98713

Answered by Dwaipayan Shikari last updated on 11/Jul/20

\int \frac{1}{x} (x - \frac{x^{3}}{3!} + \frac{x^{5}}{5!} - \frac{x^{7}}{7!} + \dots .) d x

\int 1 - \frac{x^{2}}{3!} + \frac{x^{4}}{5!} - \frac{x^{6}}{7!} + \dots \dots . d x

x - \frac{x^{3}}{3.3!} + \frac{x^{5}}{5.5!} - \frac{x^{7}}{7.7!} + \dots = \underset{n = 1}{\sum^{\infty}} {(- 1)}^{n + 1} \frac{x^{2 n - 1}}{(2 n - 1) (2 n - 1)!}

Commented by I want to learn more last updated on 11/Jul/20

Thanks sir

Answered by Aziztisffola last updated on 11/Jul/20

Commented by I want to learn more last updated on 12/Jul/20

Thanks sir