Evaluate the definite integral of the algebraic function.
Use a graphing utility to verify your results.

A)-140
B)140
C)292
D)508
E)-1,080

Question

Evaluate the definite integral of the algebraic function. ​  ​
Use a graphing utility to verify your results.
​
A)-140 
B)140 
C)292 
D)508 
E)-1,080

Quizplus · Accepted Answer

Using the power rule for integration, we have:
∫(11x^2 + 2x - 9) dx = (11/3)x^3 + x^2 - 9x + C
Evaluating this expression from x=0 to x=3 gives:
(11/3)(3)^3 + (3)^2 - 9(3) - [(11/3)(0)^3 + (0)^2 - 9(0)]
= 99 + 9 - 27 - 0
= 81
Using a graphing utility to evaluate the definite integral also confirms that the answer is C.

Evaluate the Definite Integral of the Algebraic Function