int cotmxcsc^2mxdx 20.- int ((3x^2+2)dx)/(x-1) int (dx)/(2xln3x)= 22 int x^nsqrt (ax^n+1+b)dx int (1)/(x^3)sqrt (1-(1)/(x^2))dx int csc^23xcos3xdx int ((2)/((x+1)^3)-(3)/((x+1)^2)+(4)/(x+1))dx int ((3)/(2x-1)+(5)/(3x-4))dx 27. int (senx)/(sqrt [3](cos^2)x)dx int sen^3xsen2xdx 29. int (3senycosy)/(sqrt (1-2sen^2)y)

1. $\int cotmxcsc^{2}mxdx = -\ln|\sin(mx)| + C$<br />2. $\int \frac {(3x^{2}+2)dx}{x-1} = x^{2} + 2\ln|x-1| + C$<br />3. $\int \frac {dx}{2xln3x} = \frac{1}{2}\ln(\ln(3x)) + C$<br />4. $\int x^{n}\sqrt {ax^{n+1}+b}dx = \frac{2}{3(a(n+1))^{3/2}}(ax^{n+1}+b)^{3/2} + C$<br />5. $\int \frac {1}{x^{3}}\sqrt {1-\frac {1}{x^{2}}}dx = -\frac{1}{2x^{2}}\sqrt{1-\frac{1}{x^{2}}} + C$<br />6. $\int csc^{2}3xcos3xdx = -\frac{1}{3}\sin(3x) + C$<br />7. $\int (\frac {2}{(x+1)^{3}}-\frac {3}{(x+1)^{2}}+\frac {4}{x+1})dx = -\frac{1}{(x+1)^{2}} - \frac{1}{x+1} + C$<br />8. $\int (\frac {3}{2x-1}+\frac {5}{3x-4})dx = \frac{3}{2}\ln|2x-1| + \frac{5}{3}\ln|3x-4| + C$<br />9. $\int \frac {senx}{\sqrt [3]{cos^{2}x}}dx = -\frac{3}{2}\sqrt[3]{\cos^2(x)} + C$<br />10. $\int sen^{3}xsen2xdx = -\frac{1}{12}\cos(2x) - \frac{1}{4}\cos(4x) + C$<br />11. $\int \frac {3senycosy}{\sqrt {1-2sen^{2}y}} = -\sqrt{1-2\sin^2(y)} + C$