Level:
Project ID:
1003107605
Accepted:
1
Evaluate the following integral on \( (0;\infty) \).
\[ \int\frac{7x+2}{15x^2+3x}\mathrm{d}x \]
\( \frac23\ln x-\frac15\ln\left(x+\frac15\right)+c\text{, }c\in\mathbb{R} \)
\( \ln\frac{\sqrt[3]{x^2}}{\sqrt[5]{x+1}}+c\text{, }c\in\mathbb{R} \)
\( \frac23\ln x-\ln(5x+1)+c\text{, }c\in\mathbb{R} \)
\(\ln\frac{\sqrt[3]{x^2}}{\sqrt[5]{x+5}}+c\text{, }c\in\mathbb{R} \)