Question:

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

Updated On: Mar 29, 2024
  • (A) 12
  • (B) 112
  • (C) 1
  • (D) 124
Hide Solution
collegedunia
Verified By Collegedunia

The Correct Option is B

Solution and Explanation

Explanation:
Given: y=x3 and y=x2Finding a point of intersection:x3x2=0x2(x1)=0x=0,1Let us draw the graph of the curve y=x2 and y=x3
Let the required area be A.Using the formula of the area under the curve,A=|abf(x)g(x)dx|A=|01(x3x2)dx|=|[x44x33]01|Substitute the limit to evaluate the area:A=|14130+0|=112Hence, the correct option is (B).
Was this answer helpful?
0
0