Ubestemt integral 1, substitution | Desmos

erstatter dx:

13

Expression 14: left bracket, "e" Superscript, "u" , Baseline 1 half "d" "u" , right bracket equals 1 half times left bracket, "e" Superscript, "u" , Baseline "d" "u" , right bracket

14

Nu kan integralet bestemmes:

15

Expression 16: 1 half times left bracket, "e" Superscript, "u" , Baseline "d" "u" , right bracket equals 1 half "e" Superscript, "u" , Baseline

16

Dermed er stamfunktionen

17

Expression 18: "F" left parenthesis, "x" , right parenthesis equals 1 half "e" Superscript, 2 "x" , Baseline plus "c"

18

Expression 19: Start integral from 0 to "x" , end integral, "f" left parenthesis, "t" , right parenthesis "d" "t"

19

Se evt.: https://goo.gl/zpbp16

20

c bestemmes som følger:

21

Expression 22: left bracket, "F" left parenthesis, "x" Subscript, 1 , Baseline , right parenthesis , right bracket tilde left bracket, 0 , right bracket

22

Expression 23: 1 half "e" Superscript, 2 "x" Subscript, 1 , Baseline , Baseline plus "c" equals 0

23

Expression 24: "c" equals negative 1 half "e" Superscript, 2 "x" Subscript, 1 , Baseline , Baseline

equals

negative 3.6 9 4 5 2 8 0 4 9 4 7

24

Dummy d

25

27

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