I-1-x-x-x-2-dx-I-1-x-x-x-dx-I-1-x-x-x-2-2-dx-I-1-4-x-4x-2-x-dx-I-2-1-1-2-x-2-1-

Question Number 182954 by Gamil last updated on 17/Dec/22

I = \int \frac{1}{\sqrt{x \sqrt{x} - x^{2}}} d x

I = \int \frac{1}{\cdot \sqrt{x (\sqrt{x} - x)}} d x

I = \int \frac{1}{\sqrt{x} \cdot \sqrt{\sqrt{x} - x}} \times \frac{2}{2} d x

I = \int \frac{1}{\sqrt{4 \sqrt{x} - 4 x}} \cdot \frac{2}{\sqrt{x}} d x

I = 2 \int \frac{}{\sqrt{1 - {(1 - 2 \sqrt{x})}^{2}}} \cdot \frac{1}{\sqrt{x}} d x

I = - 2 \int \frac{1}{\sqrt{1 - {(1 - 2 \sqrt{x})}^{2}}} \cdot d (1 - 2 \sqrt{x})

I = - 2 {s i n}^{- 1} (1 - 2 \sqrt{x}) + C

Gamil AL mansob

Commented by Rasheed.Sindhi last updated on 17/Dec/22

\underset{\overset{}{AND}}{Question should go in place of Question .}

Answer should go in place of Answer .