+∞
∫ x · e ^(-x² ) dx = / The substitution: u = - x², x d x = - du / 2
-∞
+∞
= - 1/2 · ∫ e ^(u) du = - 1/2 · e ^(-x²) /
- ∞
e^(-∞) = 1 / e^(∞)
= -1/2 · [ 1/ e^(∞) - 1/ e^(∞) ] = -1/2 · ( 0 - 0 ) = 0
Answer:
c. In 2 seconds, the commuter train travels 120 feet.
Step-by-step explanation:
Given
The attached graph
Required
What does x-coordinate of 2 represents
Represent this coordinate with (x,y)
From the graph:
when 
Note that:
x = time and y = distance
So:

Which means:
At 2 seconds, the train has travelled a distance of 120ft
<em>From the list of options, (c) is correct</em>
I’m sorry I can’t help you without a picture if you could add a picture please I can answer this for you ツ message me back when you do!
I’m pretty sure c is supposed to be 37.4 instead of 27.4