Question

Find the area bounded between the curve y=x2 and y=x3.

• A. (A) 12
• B. (B) 112
• C. (C) 1
• D. (D) 124

Answer 1

Answer: (B)

(B) 112

Answer 2

Explanation:
Given: y=x3 and y=x2Finding a point of intersection:⇒x3−x2=0⇒x2(x−1)=0⇒x=0,1Let us draw the graph of the curve y=x2 and y=x3Let the required area be A.Using the formula of the area under the curve,A=|∫abf(x)−g(x)dx|⇒A=|∫01(x3−x2)dx|=|[x44−x33]01|Substitute the limit to evaluate the area:⇒A=|14−13−0+0|=112Hence, the correct option is (B).