Let f (x) = x2 and g(x) = x be the functions graphed below on the...

  

Transcribed Image Text:

Let f (x) = x2 and g(x) = x be the functions graphed below on the interval [0,2]. y=x y=x a) Prove that the two graphs intersect at (0,0) and (1,1). b) Using a definite integral, write the area enclosed between the two graphs when 0 < x < 1. (Do not calculate its value.) c) Using two definite integrals, write the area enclosed between the two graphs when 0 < x <2. (Do not calculate its value.) Let f (x) = x2 and g(x) = x be the functions graphed below on the interval [0,2]. y=x y=x a) Prove that the two graphs intersect at (0,0) and (1,1). b) Using a definite integral, write the area enclosed between the two graphs when 0 < x < 1. (Do not calculate its value.) c) Using two definite integrals, write the area enclosed between the two graphs when 0 < x <2. (Do not calculate its value.)