6F - 6G Review

Given the following integral values, find the integral below

• A

• B

• C

• D

If   $\int_{-5}^3g\left(x\right)dx=-2\$   and  $\int_{-5}^{15}g\left(x\right)dx=9$   

Find the value of  $\int_3^{15}\ \ g\left(x\right)dx$  

• 7

• 11

• - 11

• - 7

 $f\left(0\right)=-3$  and  $f'\left(x\right)=4x^3$  , find  $f\left(2\right)$  

• 16

• 13

• 5

• 8

 $g\left(x\right)=x^2+3.\ \ \ Find\ \int_3^4g'\left(x\right)dx.$  

• 7

• 31

• -7

• -31

Evaluate the definite integral.

• 3
• 9/2
• 9
• Not possible

_{Evaluate the integral}

• 30/3
• 31/3
• 29/3
• 32/3

Tags

CCSS.HSA.APR.A.1

• a. 43
• b. 130/3
• c. 40
• d. 19/3

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Find the Area under the curve.

• -500 ⁄ 3
• 20 ⁄ 3
• 500 ⁄ 3
• -20 ⁄ 3

Tags

CCSS.HSA.APR.A.1

 What is the value of the definite integral :   $\int_0^{\frac{\pi}{2}}\cos\left(x\right)\ dx$ 

• -1

• 1

•  $\pi$  

•  $\frac{\pi}{2}$  

Tags

CCSS.HSF.TF.A.1

Using the areas of each region given
 $\int_b^df\left(x\right)=$  

• 2

• 22

• -2

• 3