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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

 Jun 9, 2020
 #1
avatar+21953 
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 ...

 Jun 9, 2020

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