`int(e^x(2-x^2))/((1-x)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

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

int_(-1)^((1)/(2))(e^(x)(2-x^(2))dx)/((1-x)sqrt(1-x^(2))) is equal to (sqrt(e))/(2)(sqrt(3)+1) (b) (sqrt(3e))/(2)sqrt(3e)(d)sqrt((e)/(3))

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

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

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

Evaluate the following : (i) int(x+(1)/(x))^(3//2)((x^(2)-1)/(x^(2)))dx " (ii) " int(sqrt(2+logx))/(x)dx (iii) int((sin^(-1)x)^(3))/(sqrt(1-x^(2)))dx " (iv) " int(cotx)/(sqrt(sinx))dx

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

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