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Integrate with respect to x: i) x ln x...

Integrate with respect to x: i) `x ln x`

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i) `x^(2)/2lnx-x^(2)/4+C`, ii) `x^(2)/4-x/4sin2x-1/8cos2x+C`
iii) `x^(2)/2tan^(-1)-x/2+1/2tan^(-1)x+C`, iv) `x(lnx-1)+C`, v) `(secxtanx)/(2) + 1/2ln |sec x + tanx|+C` , vi) `(x^(2)-1)e^(x^(2))+C`, vii) `xsin^(-1)sqrt(x)+(sqrt(x)sqrt(1-x))/(2)-1/2sin^(-1)sqrt(x)+C`, viii) `xtan^(-1)x-1/2ln(1+x^(2))-(tan^(-1)x)^(2)/(2)+C`
ix) `e^(x)/2(sinx-cosx)+C`, x) `e^(x)tanx+C`
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