Question

Calculus,

https://www.dropbox.com/s/lig6lqc0e4ea2kp/Screenshot%202013-11-03%2012.44.48.jpg


Can you please verify Part (a) ?

My result was -1/5ln|x+4|+1/5ln|x-1| + c

Answer 1

it is correct! :)

Answer 2

2nd one needs partial fractions directly.
3rd one needs polynomial division.
because for partial fractions, degree of Numerator should be strictly less than that of denominator.

Answer 3

thanks man ! Can you please verify for me the last two as well ??

B: -ln|X| + ln(x^2 - 1) + C

C: x^2/2 - 3x + 1/2ln|x^2 + 1| + C

Answer 4

B: -ln|X| + (1/2)ln(x^2 - 1) + C

Answer 5

side note: if you are just checking your answers it may be easier to use wolframalpha.com
then if you have questions about the solution you can ask here

Answer 6

lol, i am using wolf to check answers too
http://www.wolframalpha.com/input/?i=integral+%28x%5E3-3x%5E2%2B2x-3%29%2F%28x%5E2%2B1%29

Answer 7

i know im just trying to skip the middle man :)

Answer 8

thank you!

Answer 9

but why is wrong man ? What do you have in its place ?

Answer 10

I am integrating x - 3 + x(/x^2 + 1)

Answer 11

C is absolutely correct.

Answer 12

x - 3 + x/(x^2 + 1)

Answer 13

oh my results are correct ??

Answer 14

i think you just missed a " (1/2) " in B
C is correct, yes

Answer 15

http://www.wolframalpha.com/input/?i=integral+1%2F%28x+%28x%5E2-1%29