But this is not

Calculus Level 3

$\large \int_0^1 \frac{2x+3}{\sqrt{x^2+2x+3}} \, dx$

If the integral above equals to $\displaystyle \sqrt A - \sqrt B - \ln \left( \frac{\sqrt C+ 2}{\sqrt D + 1} \right)$ for integers $A,B,C$ and $D$ , find the value of $A+B+C+D$ .

The answer is 45.

1 solution

Sami Irumi
Sep 27, 2015

I argue with you, so it means there is a little mistake in the statement of the question, where it's written - ln... it should be + ln...

Guillermo Templado - 5 years, 8 months ago

No friend , we know that : ln(a/b) = - ln(b/a) ;)

sami irumi - 5 years, 8 months ago

But this is not

The answer is 45.

1 solution

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