" (7) "int e^(3)log x(x^(4)+1)^(-1)dx

Evaluate: int e^(3log x)(x^(4)+1)^(-1)dx

Evaluate: int e^(3log x)(x^(4)+1)^(-1)dx

inte^(3 log x ) (x^(4)+ 1) ^(-1) dx is equal to

int e^(x)( log x+(1)/(x^(2)))dx=

int e^(3 log x) (x^4 + 1)^(-1) dx =............. A) (1/2) tan^(-1) ( x^e ) + c B) (1/4) tan^(-1) ( x^2 ) + c C) (1/4) log ( x^4 + 1) + c D) (1/2) log |( x^4 + 1)| + c

" (i) "int e^(x)[e^(log x)+1]dx

int_(1)^(e )((log x)^(4))/(x)dx=

inte^(-x)log(e^x+1)dx

int e^(x) (e^(log x)+1) dx

int e^(x)(x+ln x)(x+1)dx