Solve the integral of logarithmic functions $\int\cos\left(\ln\left(x\right)\right)dx$

Find the integral

$\int sin\left(\ln\left(x\right)\right)dx$

Find the integral

$\int\cos\left(ln\left(x\right)\right)dx$

Find the integral

$\int sin\left(lnx\right)dx$

Find the integral

$\int\cos\left(\ln x\right)dx$

Find the integral

$\int cos\left(ln\left(x\right)\right)dx$

Find the integral

$\int\frac{ln\left(x\right)}{x^2}dx$

Find the integral

$\int\sin\ln\left(x\right)dx$