00:01
We need to integrate this here.
00:08
So, for integrating this, we will substitute or suppose 1 by x dt and its derivative will be this and from here we can conclude about the square as well that will be t square.
00:28
So, dx will be minus dt by t square that we can substitute here and limits will also change accordingly when x is equal to 1, t is 1, when x is equal to root 3, t will be 1 by root 3 and here it will be tan inverse t divide by t square dt and negative sign is also.
00:57
So, it is here and then we will interchange the limits and negative sign will be adjusted with that and this will be tan inverse t into t power minus 2 dt and now we can integrate this by parts.
01:22
So, when we will integrate it by parts, we will get i as tan inverse t and integration of t power minus 2 that will be minus 1 by t and limits are 1 by root 3 to 1 and the second one 1 by root 3 to 1 derivative of tan inverse t 1 over 1 plus t square and integration of t power minus 2 minus 1 by t dt.
01:56
So, this we can take i1 and it will be negative and negative sign will be positive.
02:02
So, plus i2 and now we can find these limits accordingly...