Question

Compute the indefinite integral. Calc 2 help!

Answer 1

\[\int\limits_{}^{} \frac{ x+1 }{ \sqrt{x^2+2x+7} } dx\]

Answer 2

Okay, so I am a bit lost? lol

Answer 3

Don't worry Albert Einstein was lost too.

Answer 4

haha true :P

Answer 5

Hmm okay...well start by making a u-sub.....
u = x² + 2x + 7
du = ...?

Answer 6

okay, so du= 2(x+1)dx or..?

Answer 7

Right!

Now look how close that looks to your numerator... divide out the 2 from that and you'll have

\[\frac{1}{2}\int\limits_{}^{}\frac{du}{\sqrt{u}}\]
or
\[\frac{1}{2}\int\limits_{}^{}\frac{1}{\sqrt{u}}du\]

What is the integral of 1/√u ?

Answer 8

ACTUALLY GUYS,