Finding range of a function

Question

Find the range of the function  .

	[-4, 4]
	[0, 4]
	[0, 4π]
	[0, 8π]

Answer 1

The substitution t= a sin θ will get you the integral as (x/2)sqrt(16-x²) + 8 arcsin x/4

This function has DOMAIN [0,4] and range is [0,4π] which assumes you have restricted the domain as noted.