Let A be the area of the region bounded by the curves y = √√/4 - x², y = x − 2, and x = −2. a) Express A an integral or sum of integrals with respect to x. b) Express A an integral or sum of integrals with respect to y.
Let A be the area of the region bounded by the curves y = √√/4 - x², y = x − 2, and x = −2. a) Express A an integral or sum of integrals with respect to x. b) Express A an integral or sum of integrals with respect to y.
Let A be the area of the region bounded by the curves y = √√/4 - x², y = x − 2, and x = −2. a) Express A an integral or sum of integrals with respect to x. b) Express A an integral or sum of integrals with respect to y.
Please answer a) and b). Please simplify the integral expressions where possible.
Transcribed Image Text:Let A be the area of the region bounded by the curves y = √√√4 - x², y = x - 2, and x = -2.
a) Express A an integral or sum of integrals with respect to x.
b) Express A an integral or sum of integrals with respect to y.
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.