CBSE Class 12 Math 2026 All Sets Solved Paper

Question : 10 of 20

Marks: +1, -0

The area bounded by the curve y = x | x | , x-axis and the ordinates x = -1 and x = 1 is given by

Solution:

y=x | x |

y={\{\table x^{2}{, \;} , x ≥ 0 ; -x^{2}{, \;} , x< 0}

Area

=2 ∫↙{0}↖{1} x^{2} \dx

=2 × [\;{x^{3}}/{3}] _{0}^{1}

=\;{2}/{3}

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