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Q14  Find the following integrals    \int (1-x) \sqrt x dx

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Given integral \int (1-x) \sqrt x dx;

\int \sqrt{x}\ dx - \int x\sqrt{x}\ dx  or

  \int x^{\frac{1}{2}}\ dx - \int x^{\frac{3}{2}} \ dx

= \frac{x^\frac{3}{2}}{\frac{3}{2}} - \frac{x^{\frac{5}{2}}}{\frac{5}{2}} +C

= \frac{2}{3}x^{\frac{3}{2}} - \frac{2}{5}x^{\frac{5}{2}}+C , where C is any constant value.

Posted by

Divya Prakash Singh

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