I wanted to integrate following integral. But its giving the solution in integral dV form. Is there any other way to get to exact solution?
Please Help.
Following is the problem:
Integrate[-((3 p V + q Log[V] -
3 p V Log[V])/(3 p Log[V])) - ((-324 p^2 V^2 -
108 p t Log[V] + 162 p^2 V^2 Log[V] - 36 q^2 Log[V]^2 +
108 p r Log[V]^2)/(9 2^(2/3) p Log[
V] (-11664 p^3 V^3 - 5832 p^2 t V Log[V] +
8748 p^3 V^3 Log[V] - 5832 k p^2 t Log[V]^2 -
1944 p q t Log[V]^2 + 5832 p^2 t V Log[V]^2 -
1944 p^3 V^3 Log[V]^2 - 432 q^3 Log[V]^3 +
1944 p q r Log[V]^3 - 5832 p^2 s Log[V]^3 +
Sqrt[(4 (-324 p^2 V^2 - 108 p t Log[V] + 162 p^2 V^2 Log[V] -
36 q^2 Log[V]^2 +
108 p r Log[V]^2)^3 + (-11664 p^3 V^3 -
5832 p^2 t V Log[V] + 8748 p^3 V^3 Log[V] -
5832 k p^2 t Log[V]^2 - 1944 p q t Log[V]^2 +
5832 p^2 t V Log[V]^2 - 1944 p^3 V^3 Log[V]^2 -
432 q^3 Log[V]^3 + 1944 p q r Log[V]^3 -
5832 p^2 s Log[V]^3)^2)]^(1/3)))) + (1/(18 2^(1/
3) p Log[V])) (-11664 p^3 V^3 - 5832 p^2 t V Log[V] +
8748 p^3 V^3 Log[V] - 5832 k p^2 t Log[V]^2 -
1944 p q t Log[V]^2 + 5832 p^2 t V Log[V]^2 -
1944 p^3 V^3 Log[V]^2 - 432 q^3 Log[V]^3 + 1944 p q r Log[V]^3 -
5832 p^2 s Log[V]^3 +
Sqrt[(4 (-324 p^2 V^2 - 108 p t Log[V] + 162 p^2 V^2 Log[V] -
36 q^2 Log[V]^2 +
108 p r Log[V]^2)^3 + (-11664 p^3 V^3 -
5832 p^2 t V Log[V] + 8748 p^3 V^3 Log[V] -
5832 k p^2 t Log[V]^2 - 1944 p q t Log[V]^2 +
5832 p^2 t V Log[V]^2 - 1944 p^3 V^3 Log[V]^2 -
432 q^3 Log[V]^3 + 1944 p q r Log[V]^3 -
5832 p^2 s Log[V]^3)^2)]^(1/3)), V]