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Beyond Horizon Set 4 Paper 1 · Q1

Paper 1Geometry

Find the area bounded by the straight lines x=−1x=-1 and x=1x=1 and the graphs of f(x)f(x) and g(x)g(x), where f(x)=x3f(x)=x^3 and

g(x)={x5if −1≤x≤0,xif 0≤x≤1.g(x)=\begin{cases}x^5&\text{if }-1\leq x\leq0,\\x&\text{if }0\leq x\leq1.\end{cases}
A13\frac13
B18\frac18
C12\frac12
D14\frac14
E15\frac15
F16\frac16

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