Question

Can someone check my integration work? Doc is attached. TIA

Answer 1

Well how you apply the power rule makes no sense to me, though your first one is almost right, it's a -3

Answer 2

#4 is not right

Answer 3

The bonus is just weird. There are two possible interpretations

Answer 4

for power rule, try writing it like this, it will be less confusing(instead of combining them which makes it easier to make a mistake). \[\int x^r dx= \frac{1}{r+1}x^{r+1}\]

Answer 5

of course a +C is implied there^

Answer 6

what should be the correct response for 4?

Answer 7

by the way number 1 has a wrong sign somewhere

Answer 8

woops, terribly easy mistake on 1

Answer 9

number 2 looks like you change the sign of one the exponents

Answer 10

also when checking derivatives
like and you have something like F(x)=x^2-3x
then all you need to say is F'(x)=2x-3

Answer 11

like you don't say f'(F(x))=2x-3

Answer 12

you just say F'(x)=2x-3
or since F'=f
f(x)=2x-3 being the original integrand

Answer 13

thanks for that tip, not seeing the error in number 2

Answer 14

like why does 11/17 change to -11/17?

Answer 15

oh boy

Answer 16

is there a negative on that exponent to begin with that I'm not seeing?

Answer 17

no

Answer 18

3 is missing the plus c

Answer 19

ah found it strike the last

Answer 20

anything missing from 4?

Answer 21

no, 4 is right, I just looked at the wrong thing for the answer

Answer 22

for bonus, 2 interpretations, 1 the antiderivative of the integral of f(x)=whatever they said
2. The integral of f(x)=WHATEVER THEY SAID

Answer 23

whoops hit caps lock, sorry

Answer 24

I think the prof is just asking to differentiate an integral in a tricky way.

Answer 25

nah, I think it is the first one

Answer 26

but I would put both and explain that there are two interpretations of the question since it was phrased so poorly

Answer 27

ok, thanks for the help all

Answer 28

np