Question

Need help. Solve for F(a).Let F(a) be the exact area under the graph of y =(x^2)(e^(−x)) between x = 0 and x = a for a > 0.

Answer 1

Looks like you would need integration by parts.

Answer 2

i did the general part of that and got (-e^(-x))(x^2+2x+2)

Answer 3

so would the final answer be(-e^(-a))(a^2+2a+2)+2

Answer 4

Alright, cool, thats right. Just wanted to check it. So yeah, now it's just F(a) - F(0) and yep, looks like you got it : )

Answer 5

sweet thanks for some reason i kept doing something wrong before. but now when i look at the problem i realized i messed up on the signs....

Answer 6

At least its just a small mistake and not a concept misunderstanding. Good job : )

Answer 7

Thanks for the help

Answer 8

Mhm. Yw.