Math Final

anti derivative

100

What letter goes at the end of each anti derivative 

C

200

(6x^3 +8x) dx 

3/2x^4

300

x^2(7x^3 -12x)^2 

49/9 x^9 -168/7 x^7 +144/5 x^3 + C

400

(5x^3-4)^2 dx

25/7 x^7 -10 x^4 +16x +c 

500

35x^3+8x^2-17x/x dx 

7x^5 +4x^2 -17x +C

integrals

100

What does the C represent? 

unknown values 

200

3-1 ( 2x^2+ 6x) dx

124/3

300

2-0 (X^2 + 3x) dx 

26/3

400

4-1 (2x+1) dx 

18

500

difference between definite and indefinite integrals? 

definite finds exact sum

indefinite finds anti derivative 

sigma notation

100

sum of I = 0 to 4 of (15-8k^2) 

-52

200

sum of i =1 to 6 of (16k-4) 

312

300

sum of i =1 to 7 of (6i^2 + 2i -8) 

840 

400

If I wanted to create a left handed riemann sum with 5 equal subintervals and the equation f(x) = 3x^3 + 6 and with a rectangular width of Delta X =2 what would the sigma notation be? 

4-0 (3x^3 +6)2

500

sum of I =0 to 5 of ( 4i^2-9i)

85

riemann sum

100

What are the 4 types of Riemann sums?

Left,right,midpoint,trap

200

Find the midpoint Riemann sum for 10-1 f(x) dx using 3 subintervals 

x= 1,2.5,4,5.5,7,8.5,10

f(x) = 4,7,12,23,20,15,11

135

300

What is the LRAM approximation of 14-1 f(x) using 4 subintervals as indicated by the table 

X=1,4,9,12,14

F(x)= 8,13,28,22,17

217

400

What does increasing sub intervals do?

Makes the final answer more exact 

500

what is the trapezoidal sum approximation for 8-0 f(x) dx using 4 subintervals 

x= 0,3,5,7,8

f(x)=9,14,19,23,25

133.5

sports

100

How many superbowls has Tom Brady won 

7

200

This player leads the MLB in all time home runs

Barry Bonds

300

This player leads the NHL in all time points

Wayne Gretzky 

400

What trophy does the team that wins the Super Bowl receive 

Lombardi 

500

This country has won the most winter olympic medals 

Norway