What is the integral of (sin(inx))/x ?

The integral of (sin(inx))/x is \Si(inx)+C

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integral of (sin(inx))/x

\int \frac{sin ( in x )}{x} d x

Si (in x) + C

Solution steps

\int \frac{sin ( in x )}{x} d x

Apply u-substitution

: \int \frac{sin ( u )}{u} d u

= \int \frac{sin ( u )}{u} d u

Use the nonelementary integral:

\int \frac{sin ( x )}{x} d x = Si (x)

= Si (u)

Substitute back

u = in x

= Si (in x)

Add a constant to the solution

= Si (in x) + C

\int 8 cos (3 x) d x

4 + 7 x + x^{2} + δ

x \to 0 lim (\frac{7 x ^{2}}{x ^{2}})

x \to 5 lim (75)

\frac{d}{d t} (a (t - sin (t)))

What is the integral of (sin(inx))/x ?
The integral of (sin(inx))/x is \Si(inx)+C