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 "

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

Value of (-1+sqrt(-3))^(2)+(-1-sqrt(-3))^(2) is equal to

int(1)/(sqrt(u))du

Let f(x)=int _( z )^(2) (dy)/(sqrt(1+ y ^(3))). The value of the integral int _(0)^(2) xf (x ) dx is equal to:

If f(x)=int 2-(1)/(1+x^(2))-(1)/(sqrt(1+x^(2)))dx , then f is

If f(x)=int(3x^(2)+1)/((x^(2)-1)^(3))dx and f(0)=0, then the value of (2)/(f(2))| is

If int_(0)^(x^(2)) sqrt(1=t^(2)) dt, then f'(x)n equals

If int_(log" "2)^(x)(du)/((e^(u)-1)^(1//2))=(pi)/(6) , then e^(x) is equal to