1003107909

Level: 
Project ID: 
1003107909
Accepted: 
1
Solve the indefinite integral \[ \int\frac{\sqrt[5]{\ln ⁡x}}x\mathrm{d}x \] in the range \( (0;\infty) \).
\( \frac56\ln⁡ x\cdot\sqrt[5]{\ln ⁡x}+c \), \( c\in\mathbb{R} \)
\( \frac56\ln ⁡x\cdot\sqrt[6]{\ln ⁡x}+c \), \( c\in\mathbb{R} \)
\( \frac65 \ln ⁡x\cdot\sqrt[5]{\ln ⁡x}+c \), \( c\in\mathbb{R} \)
\( \frac65\ln ⁡x\cdot\sqrt[6]{\ln ⁡x}+c \), \( c\in\mathbb{R} \)