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Find the area of the region described below.
Sketch the region enclosed bounded by the curve, and the ordinates and Evaluate: . Hence find the…
(i)[1.0]
Sketch the region enclosed bounded by the curve, $y = x|x|$ and the ordinates $x = -1$ and $x = 1$
(ii)[1.0]
Evaluate: $\int_0^1 x^2 \, dx$.
(iii)[2.0]
Hence find the area bounded by the curve, $y = x|x|$ and the ordinates $x = -1$ and $x = 1$.
Answer
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From ISC 2025 Specimen Mathematics Paper 1, question 18.