Exercise
https://texercises.com/exercise/integrationstechniken/
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Exercise:
multicols abcliste abc displaystyle fracx-^textdx abc displaystyle _-^ fracu+^textdu abc displaystyle x sinkx^ textdx abc displaystyle _^ fracat+b textdt abc displaystyle fracx^+textdv abc displaystyle fracx^-x^-x+x+textdx abcliste multicols

Solution:
abcliste abc fracx-^textdx frac fracy^textdy frac frac- y^- + c -fracy -fracx- frac-x +c abc _-^ fracu+^textdu _-^ frac fracv^textdv frac leftfrac- v^-right_-^ frac leftfrac- - frac--right frac -. numpr-. . abc x sinkx^ textdx frack siny textdy Dabei wurde folge Substitution verwet: y : kx^ qquad fractextdytextdx kx quad Rightarrow quad fractextdyk x textdx frack siny textdy frack -cosy -frack coskx^ +c abc _^ fracat+b textdt _a+b^a+b fraca fracs textds fraca leftbig lns rightbig_a+b^a+b fraca left lna+b - lna+b right fraca lnfraca+ba+b abc fracx^+textdv fracx^+ textdv fracx^+ v + c abc fracx^-x^-x+x+textdx x^-x+textdx x^-x^+x+c abcliste
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\(\LaTeX\)-Code
Exercise:
multicols abcliste abc displaystyle fracx-^textdx abc displaystyle _-^ fracu+^textdu abc displaystyle x sinkx^ textdx abc displaystyle _^ fracat+b textdt abc displaystyle fracx^+textdv abc displaystyle fracx^-x^-x+x+textdx abcliste multicols

Solution:
abcliste abc fracx-^textdx frac fracy^textdy frac frac- y^- + c -fracy -fracx- frac-x +c abc _-^ fracu+^textdu _-^ frac fracv^textdv frac leftfrac- v^-right_-^ frac leftfrac- - frac--right frac -. numpr-. . abc x sinkx^ textdx frack siny textdy Dabei wurde folge Substitution verwet: y : kx^ qquad fractextdytextdx kx quad Rightarrow quad fractextdyk x textdx frack siny textdy frack -cosy -frack coskx^ +c abc _^ fracat+b textdt _a+b^a+b fraca fracs textds fraca leftbig lns rightbig_a+b^a+b fraca left lna+b - lna+b right fraca lnfraca+ba+b abc fracx^+textdv fracx^+ textdv fracx^+ v + c abc fracx^-x^-x+x+textdx x^-x+textdx x^-x^+x+c abcliste
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Attributes & Decorations
Tags
integral, integrieren, mathematik, polynomdivision, stammfunktion, substitution
Content image
Difficulty
(1, default)
Points
6 (default)
Language
GER (Deutsch)
Type
Calculative / Quantity
Creator uz
Decoration
File
Link