Math 15200: Homework 3Due Wednesday, January 29The following three problems will be graded out of a possible five points each.1. LetA,B, andn≥1 be constants. EvaluateZxn-1√A+Bxndx.2. Letfbe a continuous function and letcbe a constant. Show thatZb+ca+cf(x-c)dx=Zbaf(x)dx.3. Suppose thatfis a continuous function on [a, b] and thatZbaf(x)dx= 0.Are the following statements true or false?