1st part is c
2nd part is d
I BELIEVE
Split up the integration interval into 4 subintervals:
![\left[0,\dfrac\pi8\right],\left[\dfrac\pi8,\dfrac\pi4\right],\left[\dfrac\pi4,\dfrac{3\pi}8\right],\left[\dfrac{3\pi}8,\dfrac\pi2\right]](https://tex.z-dn.net/?f=%5Cleft%5B0%2C%5Cdfrac%5Cpi8%5Cright%5D%2C%5Cleft%5B%5Cdfrac%5Cpi8%2C%5Cdfrac%5Cpi4%5Cright%5D%2C%5Cleft%5B%5Cdfrac%5Cpi4%2C%5Cdfrac%7B3%5Cpi%7D8%5Cright%5D%2C%5Cleft%5B%5Cdfrac%7B3%5Cpi%7D8%2C%5Cdfrac%5Cpi2%5Cright%5D)
The left and right endpoints of the
-th subinterval, respectively, are


for
, and the respective midpoints are

We approximate the (signed) area under the curve over each subinterval by

so that

We approximate the area for each subinterval by

so that

We first interpolate the integrand over each subinterval by a quadratic polynomial
, where

so that

It so happens that the integral of
reduces nicely to the form you're probably more familiar with,

Then the integral is approximately

Compare these to the actual value of the integral, 3. I've included plots of the approximations below.
Answer:
The record alligator is
feet longer than the alligator Taylor saw.
Step-by-step explanation:
Taylor saw an American alligator at a zoo that measured
feet long. The record length of an American alligator is
feet long. How much longer is the record alligator than the alligator Taylor saw?
For this first convert the mixed fraction into an improper fraction.


Now subtract
from
.

Hence, the record alligator is
feet longer than the alligator Taylor saw.
Your Answer Is...
12.
(If you need an explanation, comment below.)
Glad I Could Help, And Good Luck!
~AnonymousGiantsFan~
Answer:
the law of bodmas multiplication first so
40+(40*0)+1
40+1
41