The diagram shows part of the curve y = 2 x 2 ln(x + 1). The

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The diagram shows part of the curve y = 2 − x2 ln(x + 1). The shaded region R is bounded by the curve and by the lines x = 0, x = 1 and y = 0. Use the trapezium rule with  intervals to estimate the area of R giving your  correct to 2 decimal places. State, with a reason, whether the trapezium rule gives an under-estimate or an over-estimate of the true value of the area of R.

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