Evaluate the indefinite integral. (Use C for the constant of integration.)integral [(ln x)^44/x]dxanyone

[tex]\displaystyle\int\frac{(\ln x)^{44}}x\,\mathrm dx[/tex]

[tex]y=\ln x\implies\mathrm dy=\dfrac{\mathrm dx}x[/tex]

[tex]\displaystyle\int y^{44}\,\mathrm dy=\frac{y^{45}}{45}+C[/tex]

[tex]\displaystyle\int\frac{(\ln x)^{44}}x\,\mathrm dx=\frac{(\ln x)^{45}}{45}+C[/tex]