Find : $\textstyle\int$$\frac{d x}{5-8\,x-x^{2}}$

Find : $\textstyle\int{\frac{d x}{x^{2}+4x+8}}$

Find : $\textstyle\int$${\sqrt{x^{2}-2x}}\ d x$

Find : $\textstyle\int$$\sqrt{2x-x^{2}\ d x}$

Find : $\textstyle\int$$\frac{1}{\sqrt{x^{2}-4\,x}}\,d x$

Find : $\textstyle\int$$\frac{x}{\sqrt{32-x^{2}}}\,d x$

Find : $\textstyle\int$$\frac{d x}{\sqrt{3-2\,x-x^{2}}}$

Find : $\textstyle\int$${\frac{x^{2}}{x^{4}+x^{2}-2}}d x$

Find : $\textstyle\int$${\frac{x^{3}}{x^{4}+3x^{2}+2}}d x~.$

Find : $\large\textstyle\int$$\frac{x^{4}+1}{x\left(x^{2}+1\right)^{2}}d x$.

Evaluate : ($\large\textstyle\int(3x-2){\sqrt{x^{2}+x+1}}\,d x~.$

Evaluate : $\large\textstyle\int\!{\frac{\ d x}{x(x^{5}+3)}}\,.$

Evaluate : $\large\textstyle\int\!{\frac{d x}{x(x^{3}+1)}}\,.$

Evaluate : $\large\textstyle\int\!{\frac{d x}{x(x^{3}+8)}}\,.$

Find : $\large\textstyle\int$$\large\frac{x^{2}\,d x}{x^{4}+x^{2}-12}\;.$