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The value of $α$ for which $4 α \int_{- 1}^{2} e^{- α |x|} d x = 5$ , is:

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Correct option is D

4α∫−10eαxdx+∫02e−αxdx=5⇒4αeαxα−10+e−αx−α=5⇒4α1-e−αα−e−2α−1α=5⇒42−e−α−e−2α=5put e−α=t⇒4t2+4t−3=0⇒2t+32t−1=0⇒e−α=12⇒α=ln2

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The value of α for which 4α∫−12e−αxdx=5 , is:

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The value of $α$ for which $4 α \int_{- 1}^{2} e^{- α |x|} d x = 5$ , is: