Question

integrate 2x+5÷√x^2-2x+10​

Answer 1

Answer:

required integration can be integrate into two parts... i.e integration of

$\frac{2x - 2 + 7}{ \sqrt{ {x}^{2} - 2x + 10} } dx =$

$\frac{2x - 2}{ \sqrt{ {x}^{2} - 2x + 10 } } dx \: + \frac{7}{ \sqrt{ {x}^{2} - 2x + 10} } dx$

1st will be integrated by Substitution method & 2nd is in standard form ( complete square method).

Try it.