How do you evaluate int 1/750* (x+10)^4 *e^(-.07) for [0,125]?

1 Answer
Sep 27, 2015

Remove any constants from the integrand, then integrate.

Explanation:

int_0^125(1/750)(x+10)^4e^-0.07dx

=(1/750)(e^-0.07)int_0^125(x+10)^4dx

Now, integrate the polynomial with respect to x:

=(1/750)(e^-0.07)(x+10)^5/5

Finally, evaluate at the upper and lower limits [0,125]

=[(1/750)(e^-0.07)(125+10)^5/5] - [(1/750)(e^-0.07)(0+10)^5/5]

#= 11,149,002

Hope that helped