00:01
In this question, we have to integrate the given function from 1 to e given 6t square log of tdt.
00:13
Now, here we have integration of this in which 6 is taken as out which is constant.
00:20
So, here we have t square log of dt, tdt.
00:25
Now, here if you are going to solve this integration by parts, then we will have that is fg dash is equals to fg subtraction integration of f dash subtraction g.
00:40
Now, here we have f is equals to log of t, g dash is equals to t square, f dash is equals to 1 divided by t and g is equals to t cube divided by 3.
00:58
So, if we going to write this over here, we can write t cube divided by 3 log of t subtraction integration of t square divided by 2 dt.
01:12
Now, here we have to solve this value.
01:15
So, we will get the result that is for solving t cube divided by 3 dt is equals to 1 divided by 3 integration of t square dt...
