The area enclosed between the curves \(y=x^2\) and \(y=x\) is
A. \(\frac13\) sq. unit
B. \(\frac16\) sq. unit
C. \(\frac1{12}\) sq. unit
D. \(\frac12\) sq. unit
A. \(\frac13\) sq. unit
B. \(\frac16\) sq. unit
C. \(\frac1{12}\) sq. unit
D. \(\frac12\) sq. unit
Best answer
Answer: B. \(\frac16\) sq. unit
\(\int_0^1(x-x^2)dx=\frac12-\frac13=\frac16\).
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