 Hello and welcome to the session. I am Deepika here. Let's discuss the question which says choose the correct answer Integral from 1 to root 3 dx upon 1 plus x square equals a Pi by 3 b 2 pi by 3 c pi by 6 and d pi by 12 So let's have the solution let i is equal to integral from 1 to root 3 dx upon 1 plus x square Consider the indefinite integral dx upon 1 plus x square now this is equal to 10 inverse x by 1 because Integral of 1 over x square plus a square dx is equal to 1 by a 10 inverse x by a plus c so Here is 1 so we have integral of dx upon 1 plus x square is equal to 10 inverse x that is the antiderivative of the given function 1 over 1 plus x square therefore by second Fundamental theorem We get i is equal to so this is equal to 10 inverse root 3 minus equal to Now 10 pi by 3 is root 3 so 10 inverse root 3 is pi by 3 Minus 10 pi by 4 is 1 so 10 inverse 1 is pi by 4 This is equal to take 12 as the ncm 4 pi minus 3 pi which is equal to pi by 12 So for the above question is