Question

Evaluate this........










​

Answer 1

Answer:

$\boxed{ \bold{x log( {x}^{2} + x + 2) - 2x + \frac{1}{2} log( {x}^{2} + x + 2 ) - \frac{ \sqrt{7} }{2} log( \frac{(x + \frac{1}{2}) - ( \frac{ \sqrt{7} }{2} ) }{(x + \frac{1}{2}) + ( \frac{ \sqrt{7} }{2} ) } ) - c}}$

Step-by-step explanation:

In this type of questions we use

Integration by parts :

where we use 1 as another function .

Formula :

$\boxed{\bold{\int \: u \: v = u \int \: vdx - \int \: ( \frac{d}{dx}( u) \int \: vdx)dx}}$

Soln refers to the attachment :