Question

find the general indefinate integral of this: http://www.webassign.net/cgi-bin/symimage.cgi?expr=int%20%5C%284%20x%2A%2A2%20%2B%201%20%2B%20%285%29%20%2F%28x%2A%2A2%20%2B%201%29%5C%29%20dx

Answer 1

please show steps thanks in advance

Answer 2

term by term. first is
\[\frac{4}{3}x^3\]

Answer 3

second term is
\[x\]

Answer 4

third is
\[5\tan^{-1}(x)\]

Answer 5

yes now i get it...and last term is difficult

Answer 6

first you separate each term into its own integral and you should be able to do the first two while the last one you need to do trig. sub.

Answer 7

TRIG. SUB.

Answer 8

just gotta remember that
\[\frac{d}{dx}\tan^{-1}(x)=\frac{1}{1+x^2}\]

Answer 9

no don't really need a trig sub. just memory or text took if you cannot remember what the derivative of arctan is

Answer 10

ok thanks Satellite i will..

Answer 11

yw

Answer 12

i would give you a medal bu i cant theres no link for it