Question

please help with integration! View attatchment

Answer 1

which one?

Answer 2

both ;)

Answer 3

#4 is answer e i believe. it is the "reimann sum"for
\[\int_1^2\frac{1}{x}dx\]

Answer 4

#5 the least f can be is 5, so the least
\[\int_1^4f(x)dx\] can be is
\[\int_1^4 5 dx =3\times 5=15\]

Answer 5

answer to #6 is c by the fundamental theorem of calculus and the chain rule

Answer 6

sorry, just a little confused where the three is coming from in number 5.

Answer 7

\[4-1=3\]

Answer 8

if you integrate a constant, it is just the area of the rectangle

Answer 9

assuming of course the constant is positive. from x = 1 to x = 4 you have a rectangle with base 3 and height 5 so area is 15

Answer 10

oh ok that makes sense, thank you

Answer 11

yw

Answer 12

also, for number 6, I'm not sure how to substitute in x. Do I have to integrate or do the two processes cancel out?