The value of

Question:

The value of $\alpha$ for which $4 \alpha \int_{-1}^{2} \mathrm{e}^{-\alpha||_{\mid}} \mathrm{dx}=5$, is :

  1. $\log _{e}\left(\frac{3}{2}\right)$

  2. $\log _{e}\left(\frac{4}{3}\right)$

  3. $\log _{\mathrm{e}} 2$

  4. $\log _{\mathrm{e}} \sqrt{2}$

Correct Option: , 3

Solution:

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