Question

Integration Q..

Answer 1

\[\int\limits_{}^{} (1+x-1/x) e ^{x+1/x }dx\]

Answer 2

@rvc @imqwerty @mathmath333

Answer 3

\[=\int\limits e ^{\left( x+\frac{ 1 }{ x } \right)}*1 dx+\int\limits \left( x-\frac{ 1 }{ x } \right)e ^{\left( x+\frac{ 1 }{ x } \right)}dx\]
\[=e ^{x+\frac{ 1 }{ x }}*x- \int\limits e ^{x+\frac{ 1 }{ x }}\left( 1-\frac{ 1 }{ x^2 } \right)*x dx+\int\limits \left( x-\frac{ 1 }{ x } \right) e ^{x+\frac{ 1 }{ x }} dx+c\]
\[=x ~e ^{^{x+\frac{ 1 }{ x }}}+c\]

Answer 4

nice work!!

Answer 5

nice idea! thanks @surjithayer

Answer 6

yw