. $\int {\left( {1 - x} \right)\sqrt x dx}$
. $\int {\left( {1 - x} \right)\sqrt x dx}$
Official Solution
VVidaara Team
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NCERT & Exemplar
: Let $I = \int {\left( {1 - x} \right)\sqrt x dx} = \int {\left( {{x^{1/2}} - {x^{3/2}}} \right)} dx$
$= \cfrac{{{x^{3/2}}}}{{3/2}} - \cfrac{{{x^{5/2}}}}{{5/2}} + C = \cfrac{2}{3}{x^{3/2}} - \cfrac{2}{5}{x^{5/2}} + C$
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