Question

Integrate dx/√2x-x^2

Answer 1

Step-by-step explanation:

We have,

$\int \frac{dx}{ \sqrt{2x - {x}^{2} } }$

$= \int \frac{dx}{ \sqrt{1 - 1 + 2x - {x}^{2} } }$

$= \int \frac{dx}{ \sqrt{1 - (x - 1) ^{2} } }$

$= \sin^{ - 1} (x - 1) + c$