Answer:
The area of the region between the graph of the given function and the x-axis = 25,351 units²
Step-by-step explanation:
Given x⁵ + 8 x⁴ + 2 x² + 5 x + 15
If 'f' is a continuous on [a ,b] then the function
By using integration formula
Given x⁵ + 8 x⁴ + 2 x² + 5 x + 15 in the interval [-6,6]
<em>On integration , we get</em>
=
=
After simplification and cancellation we get
=
on calculation , we get
=
On L.C.M 15
=
= 25 351.2 units²
<u><em>Conclusion</em></u>:-
<em>The area of the region between the graph of the given function and the x-axis = 25,351 units²</em>