Definite Integral, I've worked it out just need to know if I got it right,

Question

anonymous · Answer

$$\int\limits_{-1}^{1}\left( x+1 \right)^{3}dx$$

anonymous · Answer

my answer is 2?

beginnersmind · Answer

What function did you get for the antiderivative?

anonymous · Answer

so I got it wrong? is that what u trying to tell me?

beginnersmind · Answer

Well, I got a different answer.

beginnersmind · Answer

One of us got it wrong, just not sure who :)

anonymous · Answer

lol i will answer ur question just a sec

anonymous · Answer

more than likely me lol

anonymous · Answer

$$\int\limits_{-1}^{1}\left( x ^{3}+3x ^{2}+3x+1 \right)dx?$$

anonymous · Answer

ugh this is so lagging sorry

beginnersmind · Answer

Ok, I did it differently and got 1/4(x+1)^4. Yours should work too. But when I do the integration and evaluate it I still get 4, not 2.

anonymous · Answer

oh i see what u did

anonymous · Answer

im learning this on my own btw online class

beginnersmind · Answer

Cool :)
I learned it at college but mostly understood it on my own :(

beginnersmind · Answer

*in college.

anonymous · Answer

hey thats what i gotjust now

anonymous · Answer

cool :) thx

beginnersmind · Answer

How did you get 1/4 Sid? 1/4*(1+1)^4-0=4

anonymous · Answer

1/4(1)

anonymous · Answer

ohhh

anonymous · Answer

sorry beginnersmind, duh 1+1=2 lol

phi · Answer

If you want to check your answers you can use wolfram http://www.wolframalpha.com/input/?i=int+%28x%2B1%29%5E3+dx+where+x%3D-1+to+1 if you leave out the limits of integration, you can click on "show steps" to get a hint of how a professional computer does it! http://www.wolframalpha.com/input/?i=int+%28x%2B1%29%5E3+dx

anonymous · Answer

this the correct way
(x+1)^474
now put the limits
integral at upper limit - intefral at lower limit
1/4(1+1)^4-(-1+1)^4=4 which is the correct one

anonymous · Answer

sorry 1/4 was wrong

anonymous · Answer

so the final answer is 4

anonymous · Answer

its ok thanks