Exercise
https://texercises.com/exercise/integrale-mit-linearem-zahler-und-quadratischem-nenner/
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:
prvmulticols nprvmulticols abclist %a abc displaystyle fracx + x^ + x + ddx %b abc displaystyle fracx + x^ + x - ddx %c abc displaystyle fracx + x^ - x + ddx %d abc displaystyle fracx + x^ - x - ddx %e abc displaystyle fracx - x^ + x + ddx %f abc displaystyle fracx - x^ + x - ddx %g abc displaystyle fracx - x^ - x + ddx %h abc displaystyle fracx - x^ - x - ddx %i abc displaystyle frac-x + x^ + x + ddx %j abc displaystyle frac-x + x^ + x - ddx %k abc displaystyle frac-x + x^ - x + ddx %l abc displaystyle frac-x + x^ - x - ddx %m abc displaystyle frac-x - x^ + x + ddx %n abc displaystyle frac-x - x^ + x - ddx %o abc displaystyle frac-x - x^ - x + ddx abclist multicols

Solution:
abclist %a abc fracx + x^ + x + ddx fractfracx++tfracx^+x+ddx tfracfracx+x^+x+ddx+tfracfracx^+x+ddx tfraclnx^+x+ + fracsqrtarctan!fracx+sqrt+C %b abc fracx + x^ + x - ddx fractfracx++tfracx^+x-ddx tfracfracx+x^+x-ddx + tfracfracx^+x-ddx tfracln|x^+x-| + tfracsqrtln!Bigg|fracx+-sqrtx++sqrtBigg|+C %c abc fracx + x^ - x + ddx fractfracx-+tfracx^-x+ddx tfracfracx-x^-x+ddx + tfracfracx^-x+ddx tfraclnx^-x+ + sqrtarctan!fracx-sqrt+C %d abc fracx + x^ - x - ddx fractfracx-+tfracx^-x-ddx tfracfracx-x^-x-ddx + tfracfracx^-x-ddx tfracln|x^-x-| + tfracsqrtln!Bigg|fracx--sqrtx-+sqrtBigg|+C %e abc fracx - x^ + x + ddx fractfracx+-tfracx^+x+ddx tfracfracx+x^+x+ddx - tfracfracx^+x+ddx tfraclnx^+x+ - sqrtarctan!fracx+sqrt+C %f abc fracx - x^ + x - ddx fractfracx+-tfracx^+x-ddx tfracfracx+x^+x-ddx - tfracfracx^+x-ddx tfracln|x^+x-| - tfracsqrtln!Bigg|fracx+-sqrtx++sqrtBigg|+C %g abc fracx - x^ - x + ddx fractfracx--tfracx^-x+ddx tfracfracx-x^-x+ddx - tfracfracx^-x+ddx tfraclnx^-x+ - tfracsqrtarctan!fracx-sqrt+C %h abc fracx - x^ - x - ddx fractfracx--tfracx^-x-ddx tfracfracx-x^-x-ddx - tfracfracx^-x-ddx tfracln|x^-x-| - tfracsqrtln!Bigg|fracx--sqrtx-+sqrtBigg|+C %i abc frac-x + x^ + x + ddx frac-tfracx++tfracx^+x+ddx -tfracfracx+x^+x+ddx + tfracfracx^+x+ddx -tfraclnx^+x+ + sqrtarctan!fracx+sqrt+C %j abc frac-x + x^ + x - ddx frac-tfracx++tfracx^+x-ddx -tfracfracx+x^+x-ddx + tfracfracx^+x-ddx -tfracln|x^+x-| + tfracsqrtln!Bigg|fracx+-sqrtx++sqrtBigg|+C %k abc frac-x + x^ - x + ddx frac-tfracx-+tfracx^-x+ddx -tfracfracx-x^-x+ddx + tfracfracx^-x+ddx -tfraclnx^-x+ + tfracsqrtarctan!fracx-sqrt+C %l abc frac-x + x^ - x - ddx frac-tfracx-+tfracx^-x-ddx -tfracfracx-x^-x-ddx + tfracfracx^-x-ddx -tfracln|x^-x-| + tfracsqrtln!Bigg|fracx--sqrtx-+sqrtBigg|+C %m abc frac-x - x^ + x + ddx frac-tfracx+-tfracx^+x+ddx -tfracfracx+x^+x+ddx - tfracfracx^+x+ddx -tfraclnx^+x+ - tfracsqrtarctan!fracx+sqrt+C %n abc frac-x - x^ + x - ddx frac-tfracx+-tfracx^+x-ddx -tfracfracx+x^+x-ddx - tfracfracx^+x-ddx -tfracln|x^+x-| - tfracsqrtln!Bigg|fracx+-sqrtx++sqrtBigg|+C %o abc frac-x - x^ - x + ddx frac-tfracx--tfracx^-x+ddx -tfracfracx-x^-x+ddx - tfracfracx^-x+ddx -tfraclnx^-x+ - sqrtarctan!fracx-sqrt+C abclist
Report An Error
You are on texercises.com.
reCaptcha will only work on our main-domain \(\TeX\)ercises.com!
Meta Information
\(\LaTeX\)-Code
Exercise:
prvmulticols nprvmulticols abclist %a abc displaystyle fracx + x^ + x + ddx %b abc displaystyle fracx + x^ + x - ddx %c abc displaystyle fracx + x^ - x + ddx %d abc displaystyle fracx + x^ - x - ddx %e abc displaystyle fracx - x^ + x + ddx %f abc displaystyle fracx - x^ + x - ddx %g abc displaystyle fracx - x^ - x + ddx %h abc displaystyle fracx - x^ - x - ddx %i abc displaystyle frac-x + x^ + x + ddx %j abc displaystyle frac-x + x^ + x - ddx %k abc displaystyle frac-x + x^ - x + ddx %l abc displaystyle frac-x + x^ - x - ddx %m abc displaystyle frac-x - x^ + x + ddx %n abc displaystyle frac-x - x^ + x - ddx %o abc displaystyle frac-x - x^ - x + ddx abclist multicols

Solution:
abclist %a abc fracx + x^ + x + ddx fractfracx++tfracx^+x+ddx tfracfracx+x^+x+ddx+tfracfracx^+x+ddx tfraclnx^+x+ + fracsqrtarctan!fracx+sqrt+C %b abc fracx + x^ + x - ddx fractfracx++tfracx^+x-ddx tfracfracx+x^+x-ddx + tfracfracx^+x-ddx tfracln|x^+x-| + tfracsqrtln!Bigg|fracx+-sqrtx++sqrtBigg|+C %c abc fracx + x^ - x + ddx fractfracx-+tfracx^-x+ddx tfracfracx-x^-x+ddx + tfracfracx^-x+ddx tfraclnx^-x+ + sqrtarctan!fracx-sqrt+C %d abc fracx + x^ - x - ddx fractfracx-+tfracx^-x-ddx tfracfracx-x^-x-ddx + tfracfracx^-x-ddx tfracln|x^-x-| + tfracsqrtln!Bigg|fracx--sqrtx-+sqrtBigg|+C %e abc fracx - x^ + x + ddx fractfracx+-tfracx^+x+ddx tfracfracx+x^+x+ddx - tfracfracx^+x+ddx tfraclnx^+x+ - sqrtarctan!fracx+sqrt+C %f abc fracx - x^ + x - ddx fractfracx+-tfracx^+x-ddx tfracfracx+x^+x-ddx - tfracfracx^+x-ddx tfracln|x^+x-| - tfracsqrtln!Bigg|fracx+-sqrtx++sqrtBigg|+C %g abc fracx - x^ - x + ddx fractfracx--tfracx^-x+ddx tfracfracx-x^-x+ddx - tfracfracx^-x+ddx tfraclnx^-x+ - tfracsqrtarctan!fracx-sqrt+C %h abc fracx - x^ - x - ddx fractfracx--tfracx^-x-ddx tfracfracx-x^-x-ddx - tfracfracx^-x-ddx tfracln|x^-x-| - tfracsqrtln!Bigg|fracx--sqrtx-+sqrtBigg|+C %i abc frac-x + x^ + x + ddx frac-tfracx++tfracx^+x+ddx -tfracfracx+x^+x+ddx + tfracfracx^+x+ddx -tfraclnx^+x+ + sqrtarctan!fracx+sqrt+C %j abc frac-x + x^ + x - ddx frac-tfracx++tfracx^+x-ddx -tfracfracx+x^+x-ddx + tfracfracx^+x-ddx -tfracln|x^+x-| + tfracsqrtln!Bigg|fracx+-sqrtx++sqrtBigg|+C %k abc frac-x + x^ - x + ddx frac-tfracx-+tfracx^-x+ddx -tfracfracx-x^-x+ddx + tfracfracx^-x+ddx -tfraclnx^-x+ + tfracsqrtarctan!fracx-sqrt+C %l abc frac-x + x^ - x - ddx frac-tfracx-+tfracx^-x-ddx -tfracfracx-x^-x-ddx + tfracfracx^-x-ddx -tfracln|x^-x-| + tfracsqrtln!Bigg|fracx--sqrtx-+sqrtBigg|+C %m abc frac-x - x^ + x + ddx frac-tfracx+-tfracx^+x+ddx -tfracfracx+x^+x+ddx - tfracfracx^+x+ddx -tfraclnx^+x+ - tfracsqrtarctan!fracx+sqrt+C %n abc frac-x - x^ + x - ddx frac-tfracx+-tfracx^+x-ddx -tfracfracx+x^+x-ddx - tfracfracx^+x-ddx -tfracln|x^+x-| - tfracsqrtln!Bigg|fracx+-sqrtx++sqrtBigg|+C %o abc frac-x - x^ - x + ddx frac-tfracx--tfracx^-x+ddx -tfracfracx-x^-x+ddx - tfracfracx^-x+ddx -tfraclnx^-x+ - sqrtarctan!fracx-sqrt+C abclist
Contained in these collections:
  1. 5 | 6

Attributes & Decorations
Tags
gebrochen rationale funktion, integralrechnung, mathematik
Content image
Difficulty
(4, default)
Points
4 (default)
Language
GER (Deutsch)
Type
Calculative / Quantity
Creator uz
Decoration