Mathematics

$$\int\limits_{ - 1}^1 {{e^x}dx} =$$


SOLUTION
We know that  $$\int{e^x}dx=e^x$$

$$\Rightarrow \int\limits_{-1}^{1} e^x dx=[e^x]^{1}_{-1}$$

$$\Rightarrow e^1-e^{-1}$$

$$\Rightarrow e-\dfrac{1}{e}$$

By taking L.C.M we get,

$$\Rightarrow \dfrac{e^2-1}{e}$$
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Subjective Medium Published on 17th 09, 2020
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