5.2 Definite Integrals

 $Evaluate\ \int_0^{10}fx\ dx.$  

• 40

• 32

• 64

• Not possible

 $Evaluate\ \int_1^5fx\ dx.$  

• -1

• -5

• 5

• 8

What is the value of the definite integral :  $\int_1^32x\ dx$  ?

• 2

• 4

• 8

• 10

Which definite integral models the area highlighted above?

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• 
• 
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Match the following area with the definite integral that represents it.

• $\int_{-4}^4\left(4-\left|x\right|\right)dx$

• $2\cdot\int_0^4\left(4-\left|x\right|\right)dx$

• $\int_0^4\left(4-\left|x\right|\right)dx$

• $\int_{-4}^4\left(4-x\right)dx$

Calculate  $\int_2^4f\left(x\right)\ dx$  

• 1

• 2

• 4

• -4

Calculate  $\int_{-4}^6\ f\left(x\right)\ dx$  

•  $6-2\pi$  

•  $3-\pi$  

•  $5+2\pi$  

•  $3-2\pi$  

Find the area indicated by the following integral

• $16\pi$
  

• $8\pi$

• $64\pi$

• $32\pi$

Find the area indicated by the following integral:
 $\int_0^{12}\left(4x\right)dx$  

• 144

• 288

• 72

• 48

• 0

Math the above Riemann Sum with its equivalent definite integral counterpart.

• $\int_0^3\left(6x+2\right)dx$

• $\int_0^3\left(2x+2\right)dx$

• $\int_{-3}^0\left(\frac{2}{3}x+2\right)dx$

• $\int_0^3\left(\frac{2}{3}x+2\right)dx$