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

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

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

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

$$ \frac{x-a}{2} \sqrt{2 a x-x^2}+\frac{a^2}{2} \cos ^{-1}\left(\frac{x-a}{a}\right)+C $$

$$ \frac{a^2}{2} \sqrt{2 a x-x^2}+\frac{x-a}{2} \sin ^{-1}\left(\frac{x-a}{a}\right)+C $$

$$ \frac{x-a}{2} \sqrt{2 a x-x^2}+\frac{a^2}{2} \sin ^{-1}\left(\frac{x-a}{a}\right)+C $$

$$ \frac{a^2}{2} \sqrt{2 a x-x^2}+\frac{x-a}{2} \cos ^{-1}\left(\frac{x-a}{a}\right)+C $$

$$ \log \left|c x e^x\left(1+x e^x\right)\right| $$

$$ \log \left|c x e^x\left(1+x e^x\right)\right| $$

$$ \log \left|\frac{c\left(1+x e^x\right)}{x e^x}\right| $$

$$ \log \left|\frac{c x e^x}{1+x e^x}\right| $$

$$ \frac{1}{\sqrt{2}} \tan ^{-1}\left(\frac{x^2+1}{x \sqrt{2}}\right)+C $$

$$ \frac{1}{\sqrt{2}} \tan ^{-1}\left(\frac{x^2-1}{\sqrt{2} x}\right)+C $$

$$ -\frac{1}{\sqrt{2}} \tan ^{-1}\left(x-\frac{1}{x}\right)+C $$

$$ \frac{1}{\sqrt{2}} \tan ^{-1}\left(x-\frac{1}{x}\right)+C $$