Answer:
The area of the region is 25,351 
.
Step-by-step explanation:
The Fundamental Theorem of Calculus:<em> if </em>
<em> is a continuous function on </em>![[a,b]](https://tex.z-dn.net/?f=%5Ba%2Cb%5D)
<em>, then</em>
where 
is an antiderivative of .
A function is an antiderivative of the function if
The theorem relates differential and integral calculus, and tells us how we can find the area under a curve using antidifferentiation.
To find the area of the region between the graph of the function 
and the x-axis on the interval [-6, 6] you must:
Apply the Fundamental Theorem of Calculus
Answer:
see explanation
Step-by-step explanation:
Given
2x² + 7x = 15 ( subtract 15 from both sides )
2x² + 7x - 15 = 0 ← in standard form
To factorise the left side
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 2 × - 15 = - 30 and sum = + 7
The factors are + 10 and - 3
Use these factors to split the x- term
2x² + 10x - 3x - 15 ( factor the first/second and third/fourth terms )
2x(x + 5) - 3(x + 5) ← factor out (x + 5) from each term
(x + 5)(2x - 3) ← in factored form
Add up all the sides is one way I think and then try to find the volume like add them all up then divide them by 2
