Problem 3
Integrate the functions. $$ \frac{1}{\sqrt{(2-x)^{2}+1}} $$
Problem 6
Integrate the functions. $$ \sqrt{x^{2}+4 x-5} $$
Problem 9
Find the integrals of the functions. $$ \frac{\cos x}{1+\cos x} $$
Problem 14
Find the following integrals. $$ \int(1-x) \sqrt{x} d x $$
Problem 17
Integrate the functions. $$ \frac{x e^{x}}{(1+x)^{2}} $$
Problem 18
Evaluate the definite integrals. $$ \int_{0}^{\pi}\left(\sin ^{2} \frac{x}{2}-\cos ^{2} \frac{x}{2}\right) d x $$