Answer:
33x-25
Step-by-step explanation:
2(3x-5)-3(6-4x)+(15x+3)
6x-10-18+12x+15x+3
21x+12x-10-18+3
=33x-25
Take a look at the function

. You can simplify it to

. If x=0, then y=2 and when y=0, x=3. You obtain two points (0,2) and (3,0) that lie on the line

.
Since

, the line

should belong to the shaded area.
Now take point (0,0). Since

, you can conclude that point (0,0) belongs to the shaded area.Using all these thoughts, you can make a conclusion that the correct choice is B.
Let

The exponent is indeed
- not a typo!
Take the antiderivative of
, denoted by
. This recovers a factor of
in the denominator, which lets us condense it to a single factorial.

Recall the series expansion of sine,

Then with a little algebraic manipulation, we get

Differentiate to recover
.

Finally,
, so our sum is

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