Use the Fundamental Theorem of Calculus to find the area of the region between the graph of the function x5 + 8x4 + 2x2 + 5x + 15 and the x-axis on the interval [–6, 6]. Round off your answer to the nearest integer.

Question 15 options:

25,351 units2

149,473 units2

3,758 units2

2,362 units2

Summertastic101 Jun 9, 2020

#1**0 **

f(x) = x5 + 8x4 +2x2 + 5x + 15

1) You'll need to find the anti-derivative of f(x)

---> F(x) x6/6 +8x5/5 + 2x3/3 +5x2/2 +15x + c

2) You'll need to evaluate it from -6 to 6

---> F(6) - F(-6)

---> [ (6)6/6 +8(6)5/5 + 2(6)3/3 +5(6)2/2 +15(6) + c ] - [ (-6)6/6 +8(-6)5/5 + 2(-6)3/3 +5(-6)2/2 +15(-6) + c ]

3) Finish ...

geno3141 Jun 9, 2020