`int x^(n)log x dx ` का मान है

Explanation

`int x^(n) log d x = int x xx x^(n) dx`
`= log x int x^(n) dx - [(d)/(dx)(log x)] int x^(n) dx] dx`
`= log x.xx (x^(n + 1))/(n + 1) int (1)/(x). (x^(n + 1))/(n + 1) dx`
`= (x ^(n + 1) log x)/(n + 1) - (1)/(n + 1) int x^(n) dx`
`= (x^(n + 1))/(n + 1) - (x^(n +1))/((n + 1)^(2)) + c`
`= (x^(n + 1))/(n + 1) [ log x - (1)/(n + 1) ] + c`
जहाँ c समाकलन का नियतांक है।