E a countrys gini index is defined to be 200 area

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(e) A country’s Gini Index is defined to be:200×( area between the line of equality and the country’s LorenzcurveL(x) )i. Use the result in part (d) to find (to 1 decimal) the Gini Index for the country with Lorenz curveL(x) =x2ex3-1.
ii. Looking at the CIA Gini rankings webpage (part (c)), what country has an index closest to that in part(e)(i)?
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2. [5marks]Recall the following hyberbolic functions:sinh(x) =ex-e-x2cosh(x) =ex+e-x2tanh(x) =sinhxcoshx=ex-e-xex+e-x.(a) Use the exponential forms of the functions to evaluateintegraldisplaytanh(x)dx.
(b) Use the hyperbolic forms of the functions to evaluateintegraldisplaytanh(x)dx.[Note:ddx(coshx) = sinh(x).]

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