1-x-2-2x-1-dx-A-log-x-1-C-for-x-gt-1-then-A-

Question Number 55780 by gunawan last updated on 04/Mar/19

\int \frac{1}{\sqrt{x^{2} + 2 x + 1}} d x = A \log ∣ x + 1 ∣ + C for

x > - 1, then A =_____.

Commented by maxmathsup by imad last updated on 04/Mar/19

\int \frac{d x}{\sqrt{x^{2} + 2 x + 1}} = \int \frac{d x}{∣ x + 1 ∣} = \int \frac{d x}{x + 1} i f x > - 1 \Rightarrow

\int \frac{d x}{\sqrt{x^{2} + 2 x + 1}} = l n ∣ x + 1 ∣ + c \Rightarrow A = 1 .

Answered by MJS last updated on 04/Mar/19

A = 1

\sqrt{x^{2} + 2 x + 1} =∣ x + 1 ∣

Facebook Tweet Pin