Integrations and Sigma Notation

How many terms are there in the series  $\sum_{k=3}^{13}3k+1$  

• 13

• 11

• 10

Write 1 + 2 + 3 + ... + 10

using sigma notation

• $\sum_{d=1}^9d$

• $\sum_{d=1}^{10}d+1$

• $\sum_{d=1}^{10}d$

Tags

CCSS.HSF.BF.A.2

Write 1 + 4 + 9 + ... + 49

using sigma notation

• $\sum_{k=1}^7k^2$

• $\sum_{k=1}^8k^2$

• $\sum_{k=1}^{49}k^2$

Tags

CCSS.HSF.BF.A.2

 $\ \ Evaluate\ the\ \exp ression:\ \ \ \ \sum_{k=1}^4k^3\$  

• 30

• 100

• 110

 $Evaluate:\ \ \sum_{i=1}^3\frac{i+2}{i}$  

• 3

• 6

• 9

 $What\ is\ the\ value\ of\sum_{k=1}^3\frac{k^2}{k+1}$  

•  $\frac{49}{12}$  

•  $\frac{47}{12}$  

•  $\frac{11}{6}$  

Which of the following is the indefinite integral of  $\frac{x^3}{2}+7$  ?

•  $\frac{3x^2}{2}$  

•  $\frac{3x^2}{2}+7x+c$  

•  $\frac{x^4}{8}+7x+c$  

•  $\frac{x^4}{8}+c$  

Integrate  $\sqrt{x}$  with respect to x

•  $x^{\frac{1}{2}}+c$  

•  $\frac{1}{2}x^{-\frac{1}{2}}+\ c$  

•  $\frac{2}{3}x^{\frac{3}{2}}+\ c$  

•  $\frac{3}{2}x^{\frac{3}{2}}+\ c$  

Which of the following is the indefinite integral of  $\frac{3}{x^4}\ \ ?$ 

•  $-\frac{1}{x^3}+\ c$  

•  $\frac{3}{5x^5}+\ c$  
  

•  $-\frac{12}{x^5}+\ c$  

•  $\frac{1}{x^3}+\ c$  

Find the antiderivative of
(1/3)x³-5x

• (1/12)x⁴-(5/2)x²+C
• (1/4)x⁴-(1/2)x²+C
• (1/12)x³-(5)x²+C
• (12)x⁴-(5)x²+C