int((2x+1))/((x^(2)+4x+1)^(3/2))dx=f(x)+C" where "f(x)=

If int(x+1)/((x^(2)+4x+5)^(2))dx=f(x)+g(x)+c where f(0)= (-3)/(10) , g(-1)= (-pi)/(8) and c is any arbitrary constant, if value of f(1)+g(sqrt(3)-2)=-(1)/(5)-(pi)/(k) , then k:

Let int((1+x^4)dx)/((1-x^4)^(3/2))=f(x)+C_(1) where f(0)=0 and int\ f(x)dx=g(x)+C_(2) with g(0)=0 . If g((1)/(sqrt2))=(pi)/(k) . Find k .

Let int((1+x^4)dx)/((1-x^4)(3/2))=f(x)+C_(1) where f(0)=0 and int(f(x)dx=g(x)+C_(2) with g(0)=0. If g((1)/(sqrt2))=(pi)/(k) . Find k.

If inte^(x)(1+x^(2))/((1+x)^(2))dx=e^(x)f(x)+c , then f(x)=

If inte^(x)((1-x)/(1+x^(2)))^(2)dx=e^(x)f(x)+c, then f(x)=

If int(5x^(4)+4x^(5))/((x^(5)+x+1)^(2))dx=f(x)+C , then the value of (1)/(f(1)) is

If int(1)/(x^(2)+2x+2)dx=f (x) +C , then f (x)=

If int(1)/(x^(2)+2x+2)dx=f (x) +C , then f (x)=

Let int(x^(2)-1)/(x^(3)sqrt(3x^(4)+2x^(2)-1))dx=f(x)+c where f(1)=-1 and c is the constant of integration.