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Exercise:
prvmulticols nprvmulticols abcliste %a abc displaystyle fracx+ddx %b abc displaystyle fracx+xddx %c abc displaystyle frac x^ + x - x+ddx %d abc displaystyle frac x^ + x^ + x - x-ddx %e abc displaystyle fracy^ + y + y+ddy %f abc displaystyle fracs^ - s - s+dds %g abc displaystyle fract^ - t^ - t + t-ddt %h abc displaystyle fracr^ + r^ + r + r+ddr %i abc displaystyle fracu^ - u^ - u + u-ddu %j abc displaystyle fracx^ + x + x+ddx %k abc displaystyle fracy^ + y^ - y - y+ddy %l abc displaystyle fracs^ + s^ + ssdds %m abc displaystyle fract^ - t - t-ddt %n abc displaystyle fracr^ - r^ + r^r^ - rddr %o abc displaystyle fracu^ - u + u - ddu abcliste multicols

Solution:
abcliste % a abc Polynomdivision dann Integration: polynomdivision polylongdivx+ fracx+ddx left tfrac x + tfrac rightddx tfrac x^ + tfrac x + C % b abc Polynomdivision dann Integration: polynomdivision polylongdivx+x fracx+xddx left + fracx rightddx x + tfracln|x| + C % c abc Polynomdivision dann Integration: polynomdivision polylongdiv x^ + x - x+ frac x^ + x - x+ddx left x - rightddx tfracx^ - x + C % d abc Polynomdivision dann Integration: polynomdivision polylongdiv x^ + x^ + x - x- frac x^ + x^ + x - x-ddx left x^ + x + rightddx tfracx^ + x^ + x + C % e abc Polynomdivision dann Integration: polynomdivision polylongdivy^ + y + y+ fracy^ + y + y+ddy left y + rightddy y^ + y + C % f abc Polynomdivision dann Integration: polynomdivision polylongdivs^ - s - s+ fracs^ - s - s+dds left s - tfrac + fractfracs+ rightdds tfracs^ - tfracs + tfracln|s+| + C % g abc Polynomdivision dann Integration: polynomdivision polylongdivt^ - t^ - t + t- fract^ - t^ - t + t-ddt left t^ - tfrac + fract- rightddt tfract^ - tfract + tfracln|t-| + C % h abc Polynomdivision dann Integration: polynomdivision polylongdivr^ + r^ + r + r+ fracr^ + r^ + r + r+ddr left r^ + tfracr + tfrac + fractfracr+ rightddr tfracr^ + tfracr^ + tfracr + tfracln|r+| + C % i abc Polynomdivision dann Integration: polynomdivision polylongdivu^ - u^ - u + u- fracu^ - u^ - u + u-ddu left u^ + u - tfrac - fractfracu- rightddu u^ + tfracu^ - tfracu - tfracln|u-| + C % j abc Polynomdivision dann Integration: polynomdivision polylongdivx^ + x + x+ fracx^ + x + x+ddx left x + rightddx tfracx^ + x + C % k abc Polynomdivision dann Integration: polynomdivision polylongdivy^ + y^ - y - y+ fracy^ + y^ - y - y+ddy left y^ - tfracy - tfrac - fractfracy+ rightddy tfracy^ - tfracy^ - tfracy - tfracln|y+| + C % l abc Polynomdivision dann Integration: polynomdivision polylongdivs^ + s^ + ss fracs^ + s^ + ssdds left s^ + s + rightdds tfracs^ + tfracs^ + s + C % m abc Polynomdivision dann Integration: polynomdivision polylongdivt^ - t - t- fract^ - t - t-ddt left t + rightddt t^ + t + C % n abc Polynomdivision dann Integration: polynomdivision polylongdivr^ - r^ + r^r^ - r fracr^ - r^ + r^r^ - rddr left r^ - r rightddr tfracr^ - r^ + C % o abc Polynomdivision dann Integration: polynomdivision polylongdivu^ - u + u - fracu^ - u + u - ddu left u - rightddu u^ - u + C abcliste
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Exercise:
prvmulticols nprvmulticols abcliste %a abc displaystyle fracx+ddx %b abc displaystyle fracx+xddx %c abc displaystyle frac x^ + x - x+ddx %d abc displaystyle frac x^ + x^ + x - x-ddx %e abc displaystyle fracy^ + y + y+ddy %f abc displaystyle fracs^ - s - s+dds %g abc displaystyle fract^ - t^ - t + t-ddt %h abc displaystyle fracr^ + r^ + r + r+ddr %i abc displaystyle fracu^ - u^ - u + u-ddu %j abc displaystyle fracx^ + x + x+ddx %k abc displaystyle fracy^ + y^ - y - y+ddy %l abc displaystyle fracs^ + s^ + ssdds %m abc displaystyle fract^ - t - t-ddt %n abc displaystyle fracr^ - r^ + r^r^ - rddr %o abc displaystyle fracu^ - u + u - ddu abcliste multicols

Solution:
abcliste % a abc Polynomdivision dann Integration: polynomdivision polylongdivx+ fracx+ddx left tfrac x + tfrac rightddx tfrac x^ + tfrac x + C % b abc Polynomdivision dann Integration: polynomdivision polylongdivx+x fracx+xddx left + fracx rightddx x + tfracln|x| + C % c abc Polynomdivision dann Integration: polynomdivision polylongdiv x^ + x - x+ frac x^ + x - x+ddx left x - rightddx tfracx^ - x + C % d abc Polynomdivision dann Integration: polynomdivision polylongdiv x^ + x^ + x - x- frac x^ + x^ + x - x-ddx left x^ + x + rightddx tfracx^ + x^ + x + C % e abc Polynomdivision dann Integration: polynomdivision polylongdivy^ + y + y+ fracy^ + y + y+ddy left y + rightddy y^ + y + C % f abc Polynomdivision dann Integration: polynomdivision polylongdivs^ - s - s+ fracs^ - s - s+dds left s - tfrac + fractfracs+ rightdds tfracs^ - tfracs + tfracln|s+| + C % g abc Polynomdivision dann Integration: polynomdivision polylongdivt^ - t^ - t + t- fract^ - t^ - t + t-ddt left t^ - tfrac + fract- rightddt tfract^ - tfract + tfracln|t-| + C % h abc Polynomdivision dann Integration: polynomdivision polylongdivr^ + r^ + r + r+ fracr^ + r^ + r + r+ddr left r^ + tfracr + tfrac + fractfracr+ rightddr tfracr^ + tfracr^ + tfracr + tfracln|r+| + C % i abc Polynomdivision dann Integration: polynomdivision polylongdivu^ - u^ - u + u- fracu^ - u^ - u + u-ddu left u^ + u - tfrac - fractfracu- rightddu u^ + tfracu^ - tfracu - tfracln|u-| + C % j abc Polynomdivision dann Integration: polynomdivision polylongdivx^ + x + x+ fracx^ + x + x+ddx left x + rightddx tfracx^ + x + C % k abc Polynomdivision dann Integration: polynomdivision polylongdivy^ + y^ - y - y+ fracy^ + y^ - y - y+ddy left y^ - tfracy - tfrac - fractfracy+ rightddy tfracy^ - tfracy^ - tfracy - tfracln|y+| + C % l abc Polynomdivision dann Integration: polynomdivision polylongdivs^ + s^ + ss fracs^ + s^ + ssdds left s^ + s + rightdds tfracs^ + tfracs^ + s + C % m abc Polynomdivision dann Integration: polynomdivision polylongdivt^ - t - t- fract^ - t - t-ddt left t + rightddt t^ + t + C % n abc Polynomdivision dann Integration: polynomdivision polylongdivr^ - r^ + r^r^ - r fracr^ - r^ + r^r^ - rddr left r^ - r rightddr tfracr^ - r^ + C % o abc Polynomdivision dann Integration: polynomdivision polylongdivu^ - u + u - fracu^ - u + u - ddu left u - rightddu u^ - u + C abcliste
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Tags
differentialrechnung, mathematik, polynomdivision
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Difficulty
(3, default)
Points
0 (default)
Language
GER (Deutsch)
Type
Calculative / Quantity
Creator uz
Decoration