10. Jean Louis Marie Poiseuille was a French physician who studied in both Physics and l\lathematics. He was most interested in human blood flow. In particular. he was able to show that the velocity of blood within a particular artery is given by H, I747 5 V(t) : / Et(R2 t2) (it, cubic centimetres per second. 0 . where k is a constant. L is the length of the artery. and R is the radius of the artery. (Treat L and R also as constants.) Find an alternative expression for Vb?) by evaluating the integral. is? 4 Final Answer: V(t) 2