definite integral

∫₁² (3x² + 4x³)dx

• a. 24
• b. -8
• c. -10
• d. 22

Tags

CCSS.HSA.APR.A.1

_{Evaluate the integral}

• 30/3
• 31/3
• 29/3
• 32/3

Tags

CCSS.HSA.APR.A.1

Evaluate the definite integral.

• 3
• 9/2
• 9
• Not possible

The fundamental theorem of calculus is basically:

• calculating the area under a curve

•  $\int_a^b\ f\left(x\right)\ dx=F\left(b\right)-F\left(a\right)$ 

• integrating a function, with no +C

• using rectangles to approximate the area under a curve

• we didn't learn this!

Let $A\left(x\right)=\int_0^x\sqrt{9-x^2}dx$  find  $A'\left(0\right)$  

• 3

• 0

• 9

• -3

Use a right Riemann Sum to approximate the area of the shaded area.

• 12

• 9

• 10

• 5

Find the average value of the function  $f\left(x\right)=x+3$  on the interval  $\left[3,9\right]$  

•  $54$  

•  $67.5$  

•  $7.5$  

•  $9$  

Tags

CCSS.HSA.SSE.A.1

• 14/3

• 16/3

• 62/3

• none of these

Tags

CCSS.HSA.REI.A.2

CCSS.HSN.RN.A.2