00:01
Hi, in the given problem we have to check which of the option the fundamental theorem of calculus is not applicable.
00:06
So, coming to part a where the function fx is 1 over 3x plus 4 and this fundamental of calculus has to be checked in the interval from minus 3 over 2 to 7 over 10 or we can also write this as minus 1 .5 to 0 .7 and positive 0 .7.
00:26
So, here if this denominator is 0 then at that point the function won't exist and in that case the fundamental theorem of calculus will not be applicable.
00:36
So, let's check what is that point.
00:40
So, 3x plus 4 is 0.
00:42
So, x is minus 4 upon 3 and that is equal to minus 1 .3334.
00:50
So, this means that this is greater than minus 1 .5.
00:57
So, it is in the interval or we can say this is within this interval therefore this fundamental theorem of calculus here is not applicable.
01:18
Next coming to part b in b we have a function fx is equal to 1 over 3x minus 4...