`int(dx)/((1-x^(2))^(4/3)x^(7/3))=(-3)/(4)(f(x))^(-4/3)+K(f(x))^(2/3)+C` then `K=`

If "int(x^(1/3))/((1+x^(2/3))^(3))dx=(3)/(4)(x^(a))/((1+x^(2/3))^(2))+c ," then "a=

f(x)=int(e^(x^(2))(4x^(2)-1))/(x^((3)/(2)))dx

If int(dx)/((x-1)^((3)/(4))(x+2)^((5)/(4)))=k((x-1)/(x+2))^((1)/(4))+c , then the number of divisors of 30k is

If int(sqrt(1+root(3)(x)))/(x^(2/3))dx=K(f(x))^(n/k)+C then

int(-dx)/((x-2)sqrt(x^(2)-4x))=(1)/(k)cos ec^(-1)(f(x))+c, then (k,f(x))

int(sqrt(x))/((1+x^(2))^((7)/(4)))dx=(A)(2)/(3)(x^((3)/(2)))/((x^(2)+1)^((3)/(4)))+C(B)(1)/(3)(x^((3)/(2)))/((x^(2)+1)^((3)/(4)))+C(C)(1)/(2)(x^((1)/(2)))/((x^(2)+1)^((3)/(4)))+C(D)(x^((3)/(2)))/((x^(2)+1)^((3)/(4)))+C

" If (3x^(3)-8x^(2)+10)/((x-1)^(4))=(3)/(x-1)+(1)/((x-1)^(2))-(7)/((x-1)^(3))+(k)/((x-1)^(2)) then "k=

If int_((-1)/(sqrt3))^(1//sqrt3)(x^(4))/(1-x^(4))cos^(-1)((2x)/(1+x^(2)))dx=k , then int_(0)^(1//sqrt3)(x^(4))/(1-x^(4))dx the value of k is equal to

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