Evaluate the integral by integration. Round your answer to two decimal places.
A) 45.00
B) 1,192.50
C) 270.00
D) 14,310.00
E) 312.50

Question

Evaluate the integral  by integration. Round your answer to two decimal places. ​
A) 45.00 
B) 1,192.50 
C) 270.00 
D) 14,310.00 
E) 312.50

Quizplus · Accepted Answer

To evaluate the integral, we need to integrate the function with respect to x:

∫(3x^2 - 4x + 5) dx

Using the power rule of integration, we get:

x^3 - 2x^2 + 5x + C

where C is the constant of integration.

To find the definite integral, we need to evaluate the expression at the limits of integration:

[(3(5)^2 - 4(5) + 5) - (3(2)^2 - 4(2) + 5)] = 1192.5.

Therefore, the answer is B) 1,192.50.

Evaluate the Integral by Integration