Mathematics

Evaluate
$$\int \dfrac{dx}{\sqrt{1-x}}$$


ANSWER

$$\sin^{-1} \sqrt{x}$$


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Single Correct Medium Published on 17th 09, 2020
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Q1 Single Correct Medium
Find the value of the following integral for $$a>0$$$$\int _{ -\pi  }^{ \pi  }{ \dfrac { \cos { ^{ 2 }x }  }{ 1+{ a }^{ x } } dx } $$
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Q2 Single Correct Hard
The evaluation of $$\displaystyle\int{\frac{px^{\displaystyle p+2q-1}-qx^{\displaystyle q-1}}{x^{\displaystyle 2p+2q}+2x^{\displaystyle p+q}+1}dx}$$ is
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