Question

Integrate of dx/x^2+2x+5​

Answer 1

Answer:

$\frac{1}{2} { \tan}^{ - 1} ( \frac{x + 1}{2} ) + c$

Step-by-step explanation:

In this type of questions ,try to make

perfect square in denominator .

So, in this question

do +1and -1 in denominator .

soln is in attachment

formula:

$\int \frac{1}{ {x}^{2} + {a}^{2} } dx = \frac{1}{a} { \tan }^{ - 1} ( \frac{x}{a} ) + c$

where c is integral constant