If `int_(1)^((2)/(1))(dx)/((x^(2)-2x+4)^((3)/(2)))=(k)/(k+5)` then `k` is equal to :

" Q3: The value of integral "int_(1)^(2)(dx)/((x^(2)-2x+4)^(3/2))=(k)/(k+5)" ,then "k" is equal to "

If the value of the integral int_(0)^(1//2) (x^(2))/((1-x^(2))^(3//2)) dx is (k)/(6) then k is equal to :

int _(2)^(k)(2x+1) dx = 6 then k is equal to

If int_(0)^((pi)/(3))(cos x)/(3+4sin x)dx=k log((3+2sqrt(3))/(3)) then k is equal to

int(1)/((x^(2)+k)^(n))dx

If int (2^(1//x))/(x^(2))dx= k.2^(1//x) , then k is equal to :

int(sin^(2)x)/(1+cos2x)dx=k (tan x-x)+c then k is equal to

If int_(0)^(1)(tan^(-1)x)/(x)dx=k int_(0)^( pi/2)(x)/(sin x)dx then k=

If l=int(dx)/(root(3)((x+1)^(2)(x-1)^(4)))=kroot(3)((1+x)/(1-x))+c , then k is equal to