1.

x^(2) log x

Answer»

Solution :` INT x^(2) LOGX DX`
` = LOG x. INTX^(2) dx- int {(d)/(dx) log x. int x^(2) dx}dx`
(Takinglog x asfirstfucntion)
` = log x. (x^(2))/(3)- int (1)/(x).(x^(3))/(3) dx +C`
` =(x^(3))/(3) log x. (1)/(3).int x^(2) dx +C`
` =(x^(3))/(3) log x -(1)/(3).(x^(3))/(3)+C`
` =(x^(3))/(3) log x -(x^(3))/(9)+C`


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