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These both formula came under Newton Leibniz Theorem. But i don't understand when to use the formula '1.' and when the formula in '2'.

I was trying to solve this question. In this question we have to find the area under f(x). enter image description here

when i tried to do it with the formula '1' my answer didn't matched.

Udit Chauhan
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    The case 2) is a more general case that 1), when the function under the integral depends also on $x,$ as in your exercise – Vincenzo Tibullo Sep 14 '20 at 17:15
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    You can get the correct answer using 1) if the function inside the integral is purely a function of t. For your case, you need to take $e^x$ out of the integral and apply product rule – Soumyadwip Chanda Sep 14 '20 at 17:18

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