1 votes 1 votes compute the integral here $\int_{0}^{1} (x*logx)^{50}dx$ Kaluti asked Jul 31, 2017 Kaluti 378 views answer comment Share Follow See all 6 Comments See all 6 6 Comments reply Show 3 previous comments Kaluti commented Jul 31, 2017 reply Follow Share okkk got it but tell me how will we ensure that in denominator whether it is (51)^(51) or 51^(50) by looking at the pattern 0 votes 0 votes joshi_nitish commented Jul 31, 2017 reply Follow Share it will be 5151 because 50!=1*2*3*4.........50, for each of these terms there will be one '51', till this point we have fifty '51'...at last one additional 51 we will get on integrating x50. 0 votes 0 votes Kaluti commented Jul 31, 2017 reply Follow Share okk got it one more thing when u are solving by integration by parts the first part of this before minus sign coming out to be zero but it should not be becoz on substituting the limits 0 and 1 u will be getting [$((x^{51})/51) * (logx)^(50))$ [0-0*infinity] as log0 is infinity how to deal with this and we are getting minus sign in answer but in actual answer it is not 0 votes 0 votes Please log in or register to add a comment.