" (E) "tan^(-1)(-1)

The value of int_1^e((tan^(-1)x)/x+(logx)/(1+x^2))dx ,is (a) tane (b) tan^(-1)e (c) tan^(-1)(1/e) (d) none of these

The value of int_1^e((tan^(-1)x)/x+(logx)/(1+x^2))dx ,is (a) tane (b) tan^(-1)e (c) tan^(-1)(1/e) (d) none of these

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

Prove that (tan^(-1)(1)/(e))^(2)+(2e)/((e^(2)+1))<(tan^(-1)e)^(2)+(2)/(sqrt(e^(2)+1))

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

Integrate the function: e^(tan^(-1)x)/(1+x^2)

Evaluate: int(e^tan^(-1)(x))/(1+x^2)\ dx

intsqrt(e^x-1)dx is equal to (a) 2[sqrt(e^x-1)-tan^(-1)sqrt(e^x-1)]+c (b) sqrt(e^x-1)-tan^(-1)sqrt(e^x-1)+c (c) sqrt(e^x-1)+tan^(-1)sqrt(e^x-1)+c (d) 2[sqrt(e^x-1)-tan^(-1)sqrt(e^x-1)]+c

intsqrt(e^x-1)dxi se q u a lto 2[sqrt(e^x-1)-tan^(-1)sqrt(e^x-1)]+c sqrt(e^x-1)-tan^(-1)sqrt(e^x-1)+c sqrt(e^x-1)+tan^(-1)sqrt(e^x-1)+c 2[sqrt(e^x-1)-tan^(-1)sqrt(e^x-1)]+c

Prove that (tan^(-1)1/e)^2+(2e)/((e^2+1)<(tan^(-1)e)^2+2/(sqrt(e^2+1))