Question

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!

Answer 1

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