" (22) "(1)/(x(a+bx^(n)))

int dx/(x(a + bx^(n))^(2))

int(dx)/(x(a+bx^(n))^(2))

If the coefficient of x^(7) in (ax ^(2) +(1)/(bx)) ^(11) equals the corfficient of x^(-7) in (ax- (1)/(bx^(2)))^(11), then a and b satisfy the equation-

Connect int x^(m-1)(a+bx^(n))^(p)dx with int x^(m-n-1)(a+bx^(n))^(p)dx and evaluate int(x^(8)dx)/((1-x^(3))^(1//3)) .

If y = ax^(n+1) + bx^(-1) , then x^(2) (d^(2)y)/(dx^(2)) =