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Question Number 88789 by M±th+et£s last updated on 12/Apr/20

$$\int \int ln(x+1)dxdy$$

Commented by mr W last updated on 13/Apr/20

$$\int \ln (\mathrm{x}+1)\mathrm{dx}=\int \ln \mathrm{u}\mathrm{du}$$$$.....$$$$=(x+1)\ln (x+1)-(x+1)+c\left(y\right)$$$$\int \{(x+1)\ln (x+1)-(x+1)+c\left(y\right)\}dy$$$$=(x+1)y\{\ln (x+1)-1\}+\int c\left(y\right)dy$$

Commented by john santu last updated on 12/Apr/20

$$\int \ln (\mathrm{x}+1)\mathrm{dx}=\int \ln \mathrm{u}\mathrm{du}$$$$[\mathrm{u}=\mathrm{x}+1]$$$$=\mathrm{u}\ln \mathrm{u}-\int \frac{1}{u}.udu$$$$=u\ln u-u+c$$$$=(x+1)\ln (x+1)-(x+1)+c$$$$\int \{(x+1)\ln (x+1)-(x+1)+c\}dy$$$$=(x+1)y\{\ln (x+1)-1\}+cy$$

Commented by M±th+et£s last updated on 12/Apr/20

$$y?$$

Commented by jagoll last updated on 13/Apr/20

$$sir.theanswermrjohncorrect?$$

Commented by mr W last updated on 13/Apr/20

$$ihavecommented.$$

Commented by ajfour last updated on 13/Apr/20

$$ithinkcozxandynotdependent..$$

Commented by jagoll last updated on 13/Apr/20

$$y_1,y_2,y_3,....?$$

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