It can be determined without the use of a calculator that the antiderivative of (sinx)^5 is -cosx + (2/3)(cosx)^3 - (1/5)(cosx)^5 + c. However, one calculator claims that the answer is -cosx + (2/3)(cosx)^3 - (1/5)(cosx)^5, whilst another claims the answer is [-(150cosx + 3cos5x - 25cos3x]/240. Show that, with the exception of the fact that the calculator displays do not show the constant, the three expressions are the same.