Question

Evaluate the indefinite integral. SEE BELOW!

Answer 1

\[\int\limits_{?}^{?}(t ^{1/2}+5)(t+2)dt\]

Answer 2

Should I combine the two terms together? Use substitution?

Answer 3

just expand and take integral term by term

Answer 4

what are the limits..??

Answer 5

There are no limits

Answer 6

Oh so I take each limit separately and them I can add them together right?

Answer 7

each integral I mean

Answer 8

thn @loser66 is rite...thats the shortest way

Answer 9

awesome thanks!

Answer 10

I got \[\frac{ 2 }{ 3 }t ^{\frac{ 3 }{ 2 }}+7t+\frac{ 1 }{ 2 }t ^{2}\] and apparently that isn't right.

Answer 11

I got the 7t by adding the 5t resulting from the first term and the 2t from the second term.

Answer 12

surely it's wrong. Let wait for amriju

Answer 13

shouldn't it be 2/5t^5/2 + 4/3t^3/2 + 5/2t^2+10t..

Answer 14

How would it be to the t^5/2? when it was 1/2

Answer 15

+C

Answer 16

oh i did include c. I just forgot to put it here

Answer 17

I'll try amriju's answer

Answer 18

Your answer wasn't right either, amriju

Answer 19

lol @loser66 ...ok @gabie1121 multiply all the terms and turn it into a plynomial...it'll be t^3/2+2t^1/2+5t+10...now u applt the rule int(f(x)+g(x)+h(x)+...)=int (f(x))+ int(g(x)) +int (h(x))+...if int means integration..

Answer 20

oh, ok i'll try that even though the answer you gave above didn't work. I'll see what I get doing that

Answer 21

Let make it clear,
\[\int (t^{\frac{1}{2}}+5)(t+2)dt = \int (t^{\frac{3}{2}}+2t^{\frac{1}{2}}+5t+10)dt\]got this part?

Answer 22

whats the answer?????

Answer 23

Yep!

Answer 24

now, take integral term by term, that's it.

Answer 25

loser did u match the answer I provided..??

Answer 26

i did and got exactly what amriju got but for some reason my online system isnt taking that as a right answer

Answer 27

Ill just contact my teacher. thanks!

Answer 28

surely you should. because if it's wrong, I have nothing to say.

Answer 29

ur teacher'll probbably tell u the online systems virus infected..:D

Answer 30

ask him for money back. hehehe

Answer 31

Omg i was forgetting a T when submitting! i'm dumb. thanks so much guys!

Answer 32

hahaha, so, you must pay more for your mistake.

Answer 33

Id give you both a medal if i could!

Answer 34

don't worry about me, to me , medal is meaningless

Answer 35

oh...am i the lucky guy..??:D

Answer 36

looks like it! lol

Answer 37

lol..:D...u r new to integration..ain't u??

Answer 38

I am lol

Answer 39

well then..let me tell u..the probs u r doing right now is the easiest in integration...i recommend u practice a lot...

Answer 40

Well we are moving on to integration by parts tomorrow

Answer 41

And thanks. I really want to do well

Answer 42

thats the spirit...just keep it up lyk dat..:)