2$\int{x^ndx}$
$\frac{1}{n+1}x^{n+1}+C$
3$\int{xdx}$
$\frac{1}{2}x^2+C$
4$\int{\frac{1}{x}dx}$
$ln\left|x\right|+C$
5$\int{a^xdx}$
$\frac{a^x}{\ln{a}}+C$
9$\int{tgxdx}$
$-\ln{\left|\cos{x}\right|+C}$
10$\int{ctgxdx}$
$\ln{\left|\sin{x}\right|}+C$
11$\int{\frac{dx}{\cos^2{x}}}$
$tgx+C$
12$\int{\frac{dx}{\sin^2{x}}}$
$-ctgx+C$
13$\int{\frac{dx}{x^2+a^2}}$
$\frac{1}{a}arctg\frac{x}{a}+C$
14$\int{\frac{dx}{x^2-a^2}}$
$\frac{1}{2a}\ln{\left|\frac{x-a}{x+a}\right|}+C$
15$\int{\frac{dx}{\sqrt{a^2-x^2}}}$
$arcsin\frac{x}{a}+C$
16$\int{\frac{dx}{\sqrt{x^2+q}}}$
$\ln{\left|x+\sqrt{x^2+q}\right|+C}$
17$\int{e^{ax}dx}$
$\frac{1}{a}e^{ax}+C$
18$\int{\sin{ax}dx}$
$-\frac{1}{a}\cos{ax}+C$
19$\int{\cos{ax}dx}$
$\frac{1}{a}\sin{ax}+C$