AP Calculus Area under a curve

Given the following integral values, find the integral below

• A

• B

• C

• D

Using the trapezoidal rule will yield the following results except

• The answer is just an approximation

• The answer is over-estimated

• The answer is under-estimated

• The answer is not an exact answer

Approximate the integral using the Trapezoidal Rule

• A) 43

• B) 35

• C) 33

• D) 36.5

Tags

CCSS.HSG.SRT.C.8

Based on the table, use a left Riemann sum and 4 sub-intervals to estimate the Area under the curve. (Choose the correct set-up.) 

• 5(3) + 1(4) + 2(5) + 1(7)
• 5(4) + 1(5) + 2(7) + 1(6)
• 5(3) + 6(4) + 8(5) + 9(7)
• 0(3) + 5(4) + 6(5) + 8(7)

Find the right-hand Riemann Sum, with three sub-intervals indicated by the table.

• 28

• 16

• 34

• 21

Use a trapezoidal sum with four intervals from the table to estimate the integral of 0 to 9 of V(t).

• 64

• 67

• 93

• 151/2

The result of  $\int_1^3\left(x-2\right)\ dx$  is:

• positive

• negative

• zero

The result of  $\int_0^2\left(x^2-2x+1\right)\ dx$  is:

• positive

• negative

• zero

The result of  $\int_0^2\left(x^3-2x^2-x+1\right)\ dx$  is:

• positive

• negative

• zero

If  $\int_2^{10}f\left(x\right)dx=-6$  
Find the value of  $\int_{10}^2f\left(x\right)dx$  

• - 6

• 6

• 2

• 10