6C - 6D Review

Evaluate in terms of area

∫₀² f(x) dx

• 4

• -4

• 4 + 2π

• -4 - 2π

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSG.GMD.A.1

Find F'(x)

• A

• B

• C

• D

• -cos(x⁶)
• sin(x⁶)
• 2x sin(x³)
• 2x sin(x⁶)

• -1
• -2
• 1/2
• -1/2

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

Calculate  $\int_6^2f\left(x\right)\ dx$  

• 1

• 2

• 4

• -4

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)

Tags

CCSS.HSA.SSE.A.1

 $\lim_{n\rightarrow\infty}\sum_{i=1}^n\left[\left(\frac{5i}{n}\right)^2+\frac{5i}{n}+1\right]\frac{5}{n}$  in integral notation would be 

•  $\int_0^5\left(x^2+x+1\right)dx$  

•  $\int_5^6\left(x^2+x+1\right)dx$  

•  $\int_0^1\left(\left(5x\right)^2+5x+1\right)dx$  

•  $\int_0^{10}\left(\frac{x^2}{2}+\frac{x}{2}+1\right)dx$  

Find F'(x)

• A

• B

• C

• D

• 1 ⁄ (1+x³) 
• (3x²) ⁄ (1+x³) 
• x³  ⁄ (1+x³) 
• HELP

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

 $\int_0^{\pi}\cos xdx\$  as limit of a sum is equivalent to

•  $\lim_{n\rightarrow\infty}\sum_{i=1}^n\left[\cos\left(\frac{\pi i}{n}\right)\right]\frac{i}{n}$  

•  $\lim_{n\rightarrow\infty}\sum_{i=1}^n\left[\cos\left(\frac{i}{n}\right)\right]\frac{i}{n}$  

•  $\lim_{n\rightarrow\infty}\sum_{i=1}^n\left[\cos\left(\frac{\pi i}{n}\right)\right]\frac{\pi}{n}$  

•  $\lim_{n\rightarrow\infty}\sum_{i=1}^n\left[\cos\left(\frac{i}{n}\right)\right]\frac{\pi}{n}$