Question

Problem 1: Definite Integral Consider the definite integral A=integral 2upper limit,-2lower(x+1)(4-x^2)^0.5 dx Solve the integral through appropriate manipulations of the integral and by taking advantage of properties of the integrand as well as through geometrical considerations. Briefly explain your reasoning - possibly with the help of a sketch. Note: Do not use the anti-derivative of )(4-x^2)^0.5(or similar) - it is not needed