Question

Evaluate the indefinite integral. (Use C for the constant of integration.)

Answer 1

$\displaystyle\int\frac{(\ln x)^{44}}x\,\mathrm dx$

$y=\ln x\implies\mathrm dy=\dfrac{\mathrm dx}x$

$\displaystyle\int y^{44}\,\mathrm dy=\frac{y^{45}}{45}+C$

$\displaystyle\int\frac{(\ln x)^{44}}x\,\mathrm dx=\frac{(\ln x)^{45}}{45}+C$