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Find-by-the-trapezoidal-rule-the-approximate-value-of-0-1-dx-1-x-2-Use-ordinates-spaced-at-equal-interval-of-width-h-0-1-




Question Number 27950 by tawa tawa last updated on 17/Jan/18
Find by the trapezoidal rule the approximate value of   ∫_( 0) ^( 1)  (dx/(1 + x^2 )).   Use  ordinates spaced at equal interval of width  h = 0.1
$$\mathrm{Find}\:\mathrm{by}\:\mathrm{the}\:\mathrm{trapezoidal}\:\mathrm{rule}\:\mathrm{the}\:\mathrm{approximate}\:\mathrm{value}\:\mathrm{of}\:\:\:\int_{\:\mathrm{0}} ^{\:\mathrm{1}} \:\frac{\mathrm{dx}}{\mathrm{1}\:+\:\mathrm{x}^{\mathrm{2}} }.\:\:\:\mathrm{Use} \\ $$$$\mathrm{ordinates}\:\mathrm{spaced}\:\mathrm{at}\:\mathrm{equal}\:\mathrm{interval}\:\mathrm{of}\:\mathrm{width}\:\:\mathrm{h}\:=\:\mathrm{0}.\mathrm{1} \\ $$

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