5-x-1-x-4-dx-

Question Number 84126 by Roland Mbunwe last updated on 09/Mar/20

\int \frac{5 - x}{1 + \sqrt{(x - 4)}} d x

Answered by MJS last updated on 09/Mar/20

- \int \frac{x - 5}{1 + \sqrt{x - 4}} d x = \int (1 - \sqrt{x - 4}) d x =

= x - \frac{2}{3} {(x - 4)}^{\frac{3}{2}} + C

Commented by MJS last updated on 09/Mar/20

- \frac{x - 5}{1 + \sqrt{x - 4}} \times \frac{1 - \sqrt{x - 4}}{1 - \sqrt{x - 4}} = - \frac{(x - 5) (1 - \sqrt{x - 4})}{5 - x} =

= 1 - \sqrt{x - 4}

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