the equation is like the pic below:

int(sqrt(1+16*a^2*y^6+24*a*y^5*b+16*a*y^4*c+8*a*y^3*d+9*b^2*y^4+12*b*y^3*c+6*b*y^2*d+4*c^2*y^2+4*c*y*d+d^2), y = 0 .. .2)

i try it by Maple ..but did not get any answer of it ! anyone can help me with this ??or there is no real answer for it ?

since the equation got 4 unknown constants which are a,b,c,d ...so how to use maple to solve it ???

any idea and comment will be much appreciated ...thx

the equation is like the pic below:

int(sqrt(1+16*a^2*y^6+24*a*y^5*b+16*a*y^4*c+8*a*y^3*d+9*b^2*y^4+12*b*y^3*c+6*b*y^2*d+4*c^2*y^2+4*c*y*d+d^2), y = 0 .. .2)

i try it by Maple ..but did not get any answer of it ! anyone can help me with this ??or there is no real answer for it ?

Eq1 := 55200.0*(1+(3.20000000*10^7*a+1.200000*10^5*b+400*c+d)^2)^.5*(2.048000000*10^15*a+7.680000000*10^12*b+2.560000000*10^10*c+6.40000000*10^7*d)/((3.20000000*10^7*a+1.200000*10^5*b+400*c+d)*(4.800000*10^5*a+1200*b+2*c))-1.177600000*10^12*(1+(3.20000000*10^7*a+1.200000*10^5*b+400*c+d)^2)^1.5/((3.20000000*10^7*a+1.200000*10^5*b+400*c+d)^2*(4.800000*10^5*a+1200*b+2*c))-1.766400000*10^10*(1+(3.20000000*10^7*a+1.200000*10^5*b+400*c+d)^2)^1.5/((3.20000000*10^7*a+1.200000*10^5*b+400*c+d)*(4.800000*10^5*a+1200*b+2*c)^2) = 0

EQ1 := 55200.0*(1+(3.20000000*10^7*a+1.200000*10^5*b+400*c+d)^2)^.5*(2.048000000*10^15*a+7.680000000*10^12*b+2.560000000*10^10*c+6.40000000*10^7*d)/((3.20000000*10^7*a+1.200000*10^5*b+400*c+d)*(4.800000*10^5*a+1200*b+2*c))-1.177600000*10^12*(1+(3.20000000*10^7*a+1.200000*10^5*b+400*c+d)^2)^1.5/((3.20000000*10^7*a+1.200000*10^5*b+400*c+d)^2*(4.800000*10^5*a+1200*b+2*c))-1.766400000*10^10*(1+(3.20000000*10^7*a+1.200000*10^5*b+400*c+d)^2)^1.5/((3.20000000*10^7*a+1.200000*10^5*b+400*c+d)*(4.800000*10^5*a+1200*b+2*c)^2) = 0;