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

The integral of ((sin(ln(x))))/x is -cos(ln(x))+C

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integral of ((sin(ln(x))))/x

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

- cos (ln (x)) + C

Solution steps

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

Apply u-substitution

: \int sin (u) d u

= \int sin (u) d u

Use the common integral:

\int sin (u) d u = - cos (u)

= - cos (u)

Substitute back

u = ln (x)

= - cos (ln (x))

Add a constant to the solution

= - cos (ln (x)) + C

4 y^{^{''}} + 4 y^{^{'}} - 3 y = cos (2 x)

\int_{2}^{3} \frac{26}{3 - x} d x

f (x) = \frac{e ^{x}}{8 x ^{2} + 3}

n = 1 \sum \infty \frac{4 ^{n}}{6 ^{n}}

\int (((x)^{2} - 5)^{5} 2 x) d x

What is the integral of ((sin(ln(x))))/x ?
The integral of ((sin(ln(x))))/x is -cos(ln(x))+C