`int(e^x(2-x^2))/((1-x)sqrt(1-x^2))dx=` `e^xdotsqrt((1-x)/(1+x))+c` (b) `e^xdotsqrt((1+x)/(1-x))+c` `sqrt((1+x)/(1+x))+c` (d) `(e^x)/(sqrt(1+x))+c`

int(e^(2x))/(sqrt(1-e^(2x)))dx

(v)int e^x(sqrt(1-x^(2))-(x)/(sqrt(1-x^2))dx)

int(e^x[1+sqrt(1-x^2)sin^-1x])/sqrt(1-x^2)dx

The integral inte^x(f(x)+f\'(x))dx can be solved by using integration by parts such that: I=inte^xf(x)dx+inte^xf\'(x)dx=e^xf(x)-inte^xf\'(x)dx+inte^xf\'(x)dx=e^xf(x)+C , and inte^(ax)(f(x)+(f\'(x))/a)dx=e^(ax)f(x)/a+C ,Now answer the question: int(e^x(2-x^2))/((1-x)sqrt(1-x^2))dx (A) e^xsqrt((1-x)/(1+x))+C (B) e^xsqrt((1+x)/(1-x))+C (C) e^xsqrt((2-x)/(2+x))+C (D) none of these

int(e^(x))/(sqrt(e^(2x)-1))dx=

int (e ^ (x)) / (sqrt (1 + e ^ (2x))) dx

Evaluate: int(e^(x)(2-x^(2))dx)/((1-x)sqrt(1-x^(2)))

int(e^(x)-(1)/(x)+(2)/(sqrt(x^(2)-1)))dx,|x|>1

int(e^(x)-(1)/(x)+(2)/(sqrt(x^(2)-1)))dx,|x|>1

int(e^(x)-(1)/(x)+(2)/(sqrt(x^(2)-1)))dx,|x|>1