S cos x/x ???find out this integral!!!?

Question

I mean S (cos x) / x

Answer 1

This particular integral is a trigonometric integral called the "Cosine Integral" and is merely represented as

Ci(x)

You can Google "Cosine Integral". It's quite a complicated function. There is a way to calculate it's value but it's fairly messy; you can use either the Trapozoidal Rule or Simpson's Rule.

Answer 2

cos (x/x) is only defined when x doesn't equal 0. whenever x doesn't equal 0, this is the same as cos(1). so it's just the integral of a constant number. so you get cos(1)x + c (when x doesn't equal 0)