Question

helpppppppp

Answer 1

with what

Answer 2

\[\int\limits_{0}^{\pi/3}3secxtanx dx\]

Answer 3

=

Answer 4

hint:

if y = sec(x), then dy/dx = sec(x)*tan(x)

Answer 5

is sex the anti derrivative

Answer 6

yup lol

Answer 7

6

Answer 8

no

Answer 9

close,

\[\Large \int 3\sec(x)\tan(x)dx = 3\sec(x)+C\]

Answer 10

Now evaluate at the endpoints

Answer 11

not sure how ?????

Answer 12

frogot

Answer 13

hello?

Answer 14

this page gives an example of what I mean

http://www.math.hmc.edu/calculus/tutorials/fundamental_thm/

Answer 15

omg i thought the limit zero didn't matter. forgot about the sex lol dummmmmmmm

Answer 16

sec^^^ lol

Answer 17

3

Answer 18

\[\Large \int_{0}^{\pi/3} 3\sec(x)\tan(x)dx = 3\sec(x) {\huge|}_{0}^{\pi/3}\]


\[\Large \int_{0}^{\pi/3} 3\sec(x)\tan(x)dx = (3\sec(\pi/3)) - (3\sec(0))\]


\[\Large \int_{0}^{\pi/3} 3\sec(x)\tan(x)dx = ???\]

Answer 19

3

Answer 20

\[\Large \int_{0}^{\pi/3} 3\sec(x)\tan(x)dx = 3\sec(x) {\huge|}_{0}^{\pi/3}\]


\[\Large \int_{0}^{\pi/3} 3\sec(x)\tan(x)dx = (3\sec(\pi/3)) - (3\sec(0))\]


\[\Large \int_{0}^{\pi/3} 3\sec(x)\tan(x)dx = 3*2 - 3*1\]


\[\Large \int_{0}^{\pi/3} 3\sec(x)\tan(x)dx = 3\]


So you are correct.

Answer 21

\[\int\limits_{?}^{?}x^5\sec^2(x^6)dx\]

Answer 22

no limits

Answer 23

do i use u substitution

Answer 24

yes use u = x^6

so du/dx = 6x^5

Answer 25

also keep in mind that if y = tan(x), then dy/dx = sec^2(x)

Answer 26

right antiderrivative

Answer 27

dx= du/6x^5

Answer 28

what does 6x^5 cancel with ??

Answer 29

the x^5????

Answer 30

or no

Answer 31

no

Answer 32

cause you can do 1/6 *du/x^5

Answer 33

du/dx = 6x^5

du = 6x^5*dx

du/6 = x^5*dx

Answer 34

so that means

\[\Large \int x^5\sec^2(x^6)dx\]

\[\Large \int \sec^2(x^6)*x^5dx\]

\[\Large \int \sec^2(u)*du/6\]

\[\Large \frac{1}{6}\int \sec^2(u)du\]

Answer 35

yea thats what i got sorry i was brushing my teeth

Answer 36

umm thats not one of my answers

Answer 37

1/6tan(x^6)+6

Answer 38

+c

Answer 39

never mine it is sorry

Answer 40

good, it's 1/6tan(x^6) + C

Answer 41

the grapgh of f=f'x is shown. (looks like y=4). If F(0)=5, then F(5)=

Answer 42

25???

Answer 43

no sure