Exercise
https://texercises.raemilab.ch/exercise/sostituzione-4/
Question
Solution
Short
Video
\(\LaTeX\)
No explanation / solution video to this exercise has yet been created.

Visit our YouTube-Channel to see solutions to other exercises.
Don't forget to subscribe to our channel, like the videos and leave comments!
Exercise:
Determina fracsqrtx^-xdx abclist abc Tramite la sostituzione usqrtx^- abc Tramite la sostituzione xfraccosu abclist

Solution:
abclist abc Poniamo usqrtx^- Allora fracdudxfracxsqrtx^-iff dxfracsqrtx^-xdu E così * fracsqrtx^-xdx& fracu^u^+du fracu^ + - u^+ + - du leftfracu^+u^+-fracu^+rightdu left-fracu^+rightdu u-arctan lefturight+C sqrtx^--arctan left:sqrtx^-right+C * abc Poniamo allora vale xsec ufraccosu * fracsqrtx^-xrm dx fracsqrtsec^u-sec utan usec urm du tan u tan urm du tan^ urm du sec^u - rm du tanu-u+C * Da cui * fracsqrtx^-xrm dxtanu-u+C tanleft sec^-xright-sec^-x+C sqrtx^--sec^-x+C sqrtx^--arctanleft sqrtx^-right+C * abclist
Report An Error
You are on texercises.raemilab.ch.
reCaptcha will only work on our main-domain \(\TeX\)ercises.com!
Meta Information
\(\LaTeX\)-Code
Exercise:
Determina fracsqrtx^-xdx abclist abc Tramite la sostituzione usqrtx^- abc Tramite la sostituzione xfraccosu abclist

Solution:
abclist abc Poniamo usqrtx^- Allora fracdudxfracxsqrtx^-iff dxfracsqrtx^-xdu E così * fracsqrtx^-xdx& fracu^u^+du fracu^ + - u^+ + - du leftfracu^+u^+-fracu^+rightdu left-fracu^+rightdu u-arctan lefturight+C sqrtx^--arctan left:sqrtx^-right+C * abc Poniamo allora vale xsec ufraccosu * fracsqrtx^-xrm dx fracsqrtsec^u-sec utan usec urm du tan u tan urm du tan^ urm du sec^u - rm du tanu-u+C * Da cui * fracsqrtx^-xrm dxtanu-u+C tanleft sec^-xright-sec^-x+C sqrtx^--sec^-x+C sqrtx^--arctanleft sqrtx^-right+C * abclist
Contained in these collections

Similar exercises (10)
Title Creator Matched on
Sostituzione 8 gl tagstitle
Sostituzione 9 gl tagstitle
Sostituzione 10 gl tagstitle
Sostituzione 11 gl tagstitle
Sostituzione 1 gl tagstitle
more (5 more)
Attributes & Decorations
Tags
Calcolo integrale, Sostituzione
Difficulty
(3, default)
Points
0 (default)
Language
ITA (Italiano)
Type
Calculative / Quantity
Decoration
Content image