Integrals

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

• 6

• 20

• 2

• 24

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

CCSS.HSA.SSE.A.1

• 40
• 32
• 64
• Not possible

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

• 20

• -7

• -10

• -4

 $\int_2^6f\left(x\right)dx=$  

• 20

• 40

• 26

• 32

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Find the expression that would represent the area under the curve  $f\left(x\right)=3x^2-2x$  from x= 1 to x =5.

•  $\int_1^5\left(3x^2-2x\right)dx$  
  

•  $\int_5^1\left(3x^2-2x\right)dx$  
  

•  $\int_1^5\left(6x-2\right)dx$  
  

•  $\int_1^5\left(x^3-x^2\right)dx$  
  

Tags

CCSS.HSA.SSE.A.1

Determine the rule we follow to find the antiderivative of $x^n.$  

•  $nx^{\left(n-1\right)}+C$  

•  $\left(n+1\right)n^{\left(n+1\right)}+C$  

•  $\frac{1}{n-1}x^{\left(n-1\right)}+C$  

•  $\frac{x^{\left(n+1\right)}}{n+1}+C$  

What does C represent in an antiderivative?

• A variable

• A constant

• Unknown

• None of These

• 2/3 x³
• 2x+C
• 4x+C
•  2/3 x³ +C 

Tags

CCSS.HSA.APR.A.1

∫(4 - 18x)dx

• F(x) = -18
• F(x) = 4x - 9x²
• F(x) = 4x - 9x² + C
• F(x) = (4 - 18x)² /2 + C

Tags

CCSS.HSA.APR.A.1

• 4 sin(x) + C
• sin(x) / 4 + C
• -4 sin(x) + C
• -sin(x) / 4 + C