When `(x^((1)/(4))-x^(2/3))^7` is expanded, one of its terms has the form `kx^(3)` where k is a constant which is equal to

Expand (x^(3)-(1)/(x^(2)))^(7)

If the differential equation 3x^((1)/(3))dy+x^((-2)/(3))ydx=3xdx is satisfied by kx^((1)/(3))y=x^(2)+c (where c is an arbitrary constant), then the value of k is

When (2x+3y)^(7) is expanded and the like terms are combined then the coefficient of the term x^(5)y^(2) is

The integral int(3x^(13) + 2x^(11))/((2x^(4) + 3x^(2) +1)^(4))dx is equal to (x^(12))/(k(2x^(4) + 3x^(2) + 1)^3)+C . The value of (k) is _________. (where C is a constant of integration)

int(x^(3)+x+1)/(x^(2)-1)dx is equal to f(x) and f(0)=4 then constant term in f(x) is equal to

Reduce (3x^(2) - 11 x- 4)/(6x^(2) - 7x - 3) to its lowest terms.

What is the value of k for which the quadratic equation 3x^(2) - kx+ k = 0 has equal roots ?

Find the vlaue of k for which the roots of the equation kx (3x - 4) + 4 = 0, are equal