If `int((x^(2)+2))/((x^(2)+1)(x^(2)+4))dx=ktan^(-1)((mx)/(c-x^(2)))`, then find the value of 3k+m+c.

If int _(0)^(oo) (x ^(3))/((a ^(2)+ x ^(2)))dx = (1)/(ka ^(6)), then find the value of k/8.

If (x^(2)+x+2)/(x^(2)+2x+1)=A+(B)/(x+1)+(C)/((x+1)^(2)) , then find the value of A+B+C .

Let y=mx+c be a common tangent to (x^(2))/(16)-(y^(2))/(9)=1 and (x^(2))/(4)+(y^(2))/(3)=1 , then find the value of m^(2)+c^(2) .

If int x e^(kx^(2)) dx = ( 1)/( 4) e^(2x^(2)) + C , then the value of k is

If int( 2^(x))/( sqrt( 1- 4^(x))) dx = k sin^(-1) ( 2^(x)) + C , then the value of k is

If int tan^(2) kx dx= (tan 3x)/(3)-x + C , find the value of k

If int_0^1(3x^2+2x+k)dx=0, find the value of k

The value of int((x^(2)+1))/((x^(4)-x^(2)+1)cot^(-1)(x-(1)/(x)))dx will be

If int((x^(2)-1)dx)/((x^(4)+3x^(2)+1)Tan^(-1)((x^(2)+1)/(x)))=klog|tan^(-1)""(x^(2)+1)/x|+c , then k is equal to

Evaluate: int((x^2+1)(x^2+2))/((x^2+3)(x^2+4))\ dx