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https://texercises.com/exercise/integrazione-diretta-4/
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Exercise:
Calcola le primitive delle seguenti funzioni con il metodo della sostituzione. abcmulti abc fracsqrtx+lnxx abc x^sqrt+x^ abc xsqrt+x abc sqrt-x^. abc fracxsqrtx^- abcmulti

Solution:
abclist abc fracsqrtx+lnxxmapsto -sqrtx+fracln^x+C abc x^sqrt+x^mapsto frac+x^^/+C abc xsqrt+xmapsto / + x^/ - + x+C abc sqrt-x^mapsto frac x sqrt - x^ + arcsinleftfracxright+C abc fracxsqrtx^-mapsto frac arctanleftfracsqrtx^-right abclist
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Exercise:
Calcola le primitive delle seguenti funzioni con il metodo della sostituzione. abcmulti abc fracsqrtx+lnxx abc x^sqrt+x^ abc xsqrt+x abc sqrt-x^. abc fracxsqrtx^- abcmulti

Solution:
abclist abc fracsqrtx+lnxxmapsto -sqrtx+fracln^x+C abc x^sqrt+x^mapsto frac+x^^/+C abc xsqrt+xmapsto / + x^/ - + x+C abc sqrt-x^mapsto frac x sqrt - x^ + arcsinleftfracxright+C abc fracxsqrtx^-mapsto frac arctanleftfracsqrtx^-right abclist
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Attributes & Decorations
Tags
Calcolo integrale, Integrazione diretta
Difficulty
(1, default)
Points
0 (default)
Language
ITA (Italiano)
Type
Calculative / Quantity
Decoration
Content image