Use-the-integration-by-parts-2-r-2-4-dr-

Question Number 212467 by Hanuda354 last updated on 14/Oct/24

Use the integration by parts .

\int \frac{2}{\sqrt{r^{2} - 4}} d r

Answered by mehdee7396 last updated on 14/Oct/24

r = 2 c o s h x \Rightarrow d r = 2 s i n h x d x

\Rightarrow I = \int \frac{4 s i n h x d x}{2 \sqrt{{c o s h}^{2} x - 1}} = 2 \int d x = 2 x + c

= 2 {c o h}^{- 1} \frac{r}{2} + c = 2 l n (r + \sqrt{r^{2} - 4}) + c^{'} ✓

Commented by Frix last updated on 14/Oct/24

Yes but it says “ use the integration by {parts}^{″}

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