Asked by Lara
Drake observed that the snake’s (that ate an elephant) profil can be well approximated by f (x) = xe^(−x^2)
where 0 ≤x ≤5. Help him calculate the area of this profil of the
snake!
I really do not get how to solve this...thank you so much!
where 0 ≤x ≤5. Help him calculate the area of this profil of the
snake!
I really do not get how to solve this...thank you so much!
Answers
Answered by
oobleck
you want
∫[0,5] x e^(-x^2) dx
let u = x^2. Now you have
∫[0,25] e^-u du = -e^-u [0,25] = 1-e^-25
∫[0,5] x e^(-x^2) dx
let u = x^2. Now you have
∫[0,25] e^-u du = -e^-u [0,25] = 1-e^-25
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