Doubt from definite Integration

Answer is 3
Doubt from solution
How mod t is opening according to x?

what is ur doubt kindly explain more? its simple lebniz theoram used.. @Hritik_2020

How modulus t is opened @Sneha_2021

if t>0 then + otherwise t<0 then -ve

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How it depends on the x? Why when x is positive we have taken t as positive and when x is negative t is negative?

because t depend on x as by given limit

Can't understand

Got it, thanks