Integration By Parts

Integration By Parts

  1. \({\ }\int_{}^{}{xe^{x}}dx\)
  2. \({\ }\int_{}^{}{x^{2}\; e^{x}}dx\)
  3. \({\ }\int_{}^{}{\frac{x^{2}}{\sqrt{1-x}}}dx\)
  4. \({\ }\int_{}^{}{\log \; x}{\ } dx\)
  5. \({\ }\int_{}^{}{x^{2\; }\log \; x}{\ }dx\)
  6. \({\ }\int_{}^{}{\log \; x^{3}}{\ }dx\)
  7. \({\ }\int_{}^{}{x\; \log \; x^{2}}{\ }dx\)
  8. \({\ }\int_{}^{}{x^{3}\; \log \; x^{}}{\ }dx\)
  9. \({\ }\int_{}^{}{x^{2}\; \left( \log x \right)^{2}}dx\)
  10. \({\ }\int_{}^{}{x^{3}\; e^{x}}{\ }dx\)
  11. \({\ }\int_{}^{}{x\sqrt{2x\; +1}}{\ }dx\)
  12. \({\ }\int_{}^{}{\left( x+3 \right)\; \left( x+1 \right)^{\frac{1}{2}}}{\ }dx\)
  13. \({\ }\int_{}^{}{\log \; x^{x}}{\ }dx\)
  14. \({\ }\int_{}^{}{\log \; \left( x+1 \right)}{\ }dx\)
  15. \({\ }\int_{}^{}{x^{2}e^{-x}}{\ }dx\)
  16. \({\ }\int_{}^{}{x^{5}\; e^{x^{2}}}dx\)

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