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Evaluate the definite integration  ex ⋅ dx:

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Bihar STET Paper I: Mathematics (Held In 2019 - Shift 1)
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  1. ea − eb
  2. eb − ea
  3. eab

Answer (Detailed Solution Below)

Option 2 : eb − ea
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Detailed Solution

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Calculations:

The antiderivative of ex with respect to x is ex.

Therefore, the definite integral from a to b of ex dx can be computed by taking the antiderivative at the upper limit and subtracting the antiderivative at the lower limit.

In formula terms, we can represent this as follows:

ex dx = [eb - ea]

This applies directly from the Fundamental Theoreorem of Calculus.

Hence, Option 2 is correct.

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