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\int \frac{\sqrt{x}dx }{1- x}
another for practice
2. \int_{0}^{\frac{\pi }{2}}{ \frac{sinx cosx dx }{ cos^2x + 3cosx + 2}}
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3 Answers
1the second one is very easy
take cos x as t
then apply partial fraction
1\int \frac{ \sqrt{x}dx}{ 1- x}= \int \frac{\sqrt{x} dx}{1 - ( \sqrt{x} ) ^2}
eureka a liitle change in first step