`|[1,1,1],[e,0,sqrt(2)],[2,2,2]|` is equal to

The value of |{:(-1,,2,,1),(3+2sqrt(2),,2+2sqrt(2),,1),(3-2sqrt(2),,2-2sqrt(2),,1):}| is equal to

sin^(-1)(2x sqrt(1-x^(2))),x in[(1)/(sqrt(2)),1] is equal to

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

If f(a)= int_(0)^(a)(du)/((1+u^(2))^(1/2)), then value of the expression 3sqrt(2)f(2sqrt(2)) is equal to "

2+sqrt2+1/(2+sqrt2)-1/(2-sqrt2) is equal to

If f'(x)=(1)/(-x+sqrt(x^(2)+1)) and f(0)=(1+sqrt(2))/(2) then f(1) is equal to -log(sqrt(2)+1)( b )11+sqrt(2)(d) none of these

If the value of underset(x to 0)lim (sqrt(2+x)-sqrt2)/(x)" is equal to "1/(a sqrt2) then 'a' equals