[" If "int(dx)/((x^(2)-2x+10)^(2))=A[Tan^(-1)((x-1)/(3))+(f(x))/(x^(2)-2x+10)]+C" where "],[" C is a constant of integration "]

If int(dx)/((x^(2)+x+1)^(2))=atan^(-1)((2x+1)/(sqrt(3)))+b((2x+1)/(x^(2)+x+1))+C , x gt 0 where C is the constant of integration, then the value of 9(sqrt(3)a+b) is equal to __________.

int((f'(x)g(x)+f(x)g'(x)))/((1+(f(x)g(x))^(2)))dx is where C is constant of integration

"If"int(dx)/(x^(3)(1+x^(6))^(2/3))=xf(x)(1+x^(6))^(1/3)+C where, C is a constant of integration, then the function f(x) is equal to

"If"int(dx)/(x^(3)(1+x^(6))^(2/3))=xf(x)(1+x^(6))^(1/3)+C where, C is a constant of integration, then the function f(x) is equal to

What is int(x^(4) +1)/(x^(2) + 1)dx equal to ? Where 'c' is a constant of integration

int ((x ^(2) -x+1)/(x ^(2) +1)) e ^(cot^(-1) (x))dx =f (x) .e ^(cot ^(-1)(x)) +C where C is constant of integration. Then f (x) is equal to:

int ((x ^(2) -x+1)/(x ^(2) +1)) e ^(cot^(-1) (x))dx =f (x) .e ^(cot ^(-1)(x)) +C where C is constant of integration. Then f (x) is equal to:

If int (x+1)/(sqrt(2x-1))dx = f(x)sqrt(2x-1)+C , where C is a constant of integration, then f(x) is equal to

If int (x+1)/(sqrt(2x-1))dx = f(x)sqrt(2x-1)+C , where C is a constant of integration, then f(x) is equal to

If int (x+1)/(sqrt(2x-1))dx = f(x)sqrt(2x-1)+C , where C is a constant of integration, then f(x) is equal to