Question
The area enclosed by the curves y=x^3 and y= x is
BITSAT
Mathematics
Area Under Curves
2024
BITSAT 2024 (Memory Based Paper 3)
BITSAT Mathematics Question (2024) — Solution
Options
- A. 5 3 sq. units
- B. 5 4 sq. units
- C. 5 12 sq. unit
- D. 12 5 sq. units
Answer
C. 5 12 sq. unit
Step-by-step solution
Given curves are y=x^3 and y= x Both curves intersects at x=0 and x=1 Shaded region is required area aligned A & = | _0^1 (x^3- x ) d x |= | [ x^4 4 - 2 x^ 3 / 2 3 ]_0^1 | \\ & = | [ 1 4 - 2 3 ] | \\ & = 5 12 sq. unit aligned
Related: Mathematics — Area Under Curves · All PYQ Banks