$$ \frac{\log x}{x+1}-\log \left|\frac{x}{x+1}\right|+C $$

$$ -\frac{\log x}{x+1}+\log \left|\frac{x}{x+1}\right|+C $$

$$ -\frac{\log x}{x+1}-\log \left|\frac{x}{x+1}\right|+C $$

$$ \frac{\log x}{x+1}+\log \left|\frac{x+1}{x}\right|+C $$

$$ \frac{1}{4} \log \left|\frac{\sqrt{x^2+4}-2}{\sqrt{x^2+4}+2}\right|+C $$

$$ \frac{1}{4} \log \left|\frac{\sqrt{x^2+4}+2}{\sqrt{x^2+4}-2}\right|+C $$

$$ \frac{1}{2} \log \left|\frac{\sqrt{x^2+4}+2}{\sqrt{x^2+4}-2}\right|+C $$

$$ \frac{1}{2} \log \left|\frac{\sqrt{x^2+4}-2}{\sqrt{x^2+4}+2}\right|+C $$

$-\frac{3}{2} \cos 2 x+C$

$\frac{2}{3} x+C$

$x+C$

$\frac{3}{2} \sin 2 x+C$

$$ \frac{e^{2 x}}{29}[2 \sin (5 x+3)+5 \cos (5 x+3)]+C $$

$$ \frac{e^{2 x}}{29}[2 \sin (5 x+3)+5 \cos (5 x+3)]+C $$

$$ \frac{e^{2 x}}{29}[2 \cos (5 x+3)+5 \sin (5 x+3)]+C $$

$$ \frac{e^{2 x}}{29}[5 \cos (5 x+3)-2 \sin (5 x+3)]+C $$