Mathematics

Solve $$\int { \left( 1-x \right) \sqrt { x }  } dx$$


SOLUTION
$$\int {\left( {1 - x} \right)\sqrt x } dx$$
$$ = \int {\left( {\sqrt x  - x\sqrt x } \right)dx} $$

$$ = \int {\left( {{x^{\dfrac{1}{2}}} - {x^{\dfrac{3}{2}}}} \right)} dx$$

$$ = \dfrac{2}{3}{x^{\dfrac{3}{2}}} - \dfrac{2}{5}{x^{\dfrac{5}{2}}} + c$$
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Subjective Medium Published on 17th 09, 2020
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