Use the fundamental theorem of calculus to evaluate the following definite integral. integral from 3 to 4 (2 x squared plus 9 )dx∫342x2+9 dx integral from 3 to 4 (2 x squared plus 9 )dx∫342x2+9 dx

Theorem of calculus

Step-by-step explanation:

Take the integral

Integrate the sum term by term and factor out constants

Apply the fundamental theorem of calculus.

The antiderivative of x^2 is x^3/3, while for a constat is x

Evaluate the limits

b

step-by-step explanation:

given

- 2 (3x + 12y - 5 - 17x - 16y + 4 )

simplify the parenthesis by collecting like terms

= - 2 (- 14x - 4y - 1) ← distribute the parenthesis by - 2

= 28x + 8y + 2 → b

i think the answer is b.

step-by-step explanation:

not 100% sure though.