Question 1

Evaluate the integral using the Fundamental Theorem of Calculus.
-
A) 4 
B) 4 
C) 4 
D)

Accepted Answer

The answer of Evaluate the integral using the Fundamental Theorem...

Question 2

Evaluate the integral using the Fundamental Theorem of Calculus.
- where f(x) = 
A) 2 
B)  + 
C)  -1
D) 2  -

Accepted Answer

The answer of Evaluate the integral using the Fundamental Theorem...

Question 3

Find the total area of the region between the curve and the x-axis.
-y = 2x + 7; 1 $\le$ x $\le$ 5
A) 26
B) 18
C) 52
D) 9

Accepted Answer

The area under the curve can be found by integrating the function from the lower to the upper limit. The integral of $y = 2x + 7$ from $x = 1$ to $x = 5$ gives the area. The integral is $\int_{1}^{5} (2x + 7) dx = [x^2 + 7x]_{1}^{5} = (25 + 35) - (1 + 7) = 60 - 8 = 52$.

Question 4

Find the total area of the region between the curve and the x-axis.
-y =  - 6x + 9; 2 $\le$ x $\le$ 4
A) 7/3
B) 1/3
C) 4/3
D) 2/3

Accepted Answer