prove-1-x-2-1-x-2-dx-1-x-2-dx-

Question Number 163888 by zakirullah last updated on 11/Jan/22

p r o v e \int \frac{1 - x^{2}}{\sqrt{1 - x^{2}}} d x = \int \sqrt{1 - x^{2}} d x

Commented by mr W last updated on 12/Jan/22

\frac{a^{2}}{a} = a i s o b v i o u s .

Answered by essojean last updated on 11/Jan/22

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

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

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

= \int \sqrt{1 - x^{2}} d x \dots . .

Commented by zakirullah last updated on 12/Jan/22

n i c e s o l u t i o n D e a r S i r

A b o u n d l e o f t h a n k s .