1)[tex] \int\ { \frac{1}{x^3} } \, dx= \int\ { x^{-3} } \, dx = \frac{ x^{-2} }{-2}+C=- \frac{1}{2 x^{2} } +C[/tex]
2)[tex] \int{ \frac{1}{ \sqrt[]{x^3} } } \, dx = \int\ { x^{- \frac{3}{2} } } \, dx= \frac{ x^{- \frac{1}{2} } }{- \frac{1}{2} } +C=- \frac{2}{ \sqrt{x} } +C[/tex]
3)[tex] \int\ { x^{10} } \, dx= \frac{ x^{11} }{11}+C [/tex]
4)[tex] \int\ { x^{-7} } \, dx= \frac{ x^{-6} }{-6}+C [/tex]
5)[tex] \int\ { x^{ \frac{1}{4} } } \, dx= \frac{ x^{ \frac{5}{4} } }{ \frac{5}{4} } +C= \frac{4}{5} x^{ \frac{5}{4} } +C [/tex]
6)[tex] \int\ { \frac{1}{ x^{2} +3^2} } \, dx = \frac{1}{3}arctg \frac{x}{3}+C [/tex]
7)[tex] \int\2^x} \, dx= \frac{2^x}{ln2} +C [/tex]
8)[tex] \int\ { \frac{1}{ \sqrt{5- x^{2} } } } \, dx =arcsin \frac{x}{ \sqrt{5} }+C [/tex]
9)[tex] \int\{ \frac{1}{ \sqrt{x&2-7} } } \, dx =ln(x+ \sqrt{x^2-7})+C [/tex]
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