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$\begin{array}{ll}{\int }_{u}^{b}\frac{\text{d}x}{\sqrt{\left(a-x\right)\left(b-x\right){\left(x-c\right)}^{5}}}\hfill & =\frac{2}{3{\left(b-c\right)}^{2}\sqrt{{\left(a-c\right)}^{3}}}\left[\left(2a+b-3c\right)F\left(\delta ,q\right)\left(a+b-2c\right)E\left(\delta ,q\right)\right]\hfill \\ +\frac{2\left[ab-3ac-2bc+4{c}^{2}+u\left(2a+b-3c\right)\right]}{3{\left(b-c\right)}^{2}\left(a-c\right)}\sqrt{\frac{b-u}{\left(a-u\right){\left(u-c\right)}^{3}}}\hfill \end{array}$

BY (234.04)

$[a>b>u>c]$

15.

$\begin{array}{ll}{\int }_{b}^{u}\frac{\text{d}x}{\sqrt{\left(a-x\right)\left(x-b\right){\left(x-c\right)}^{5}}}\hfill & =\frac{2}{3{\left(b-c\right)}^{2}\sqrt{{\left(a-c\right)}^{3}}}\left[2\left(a+b-2c\right)E\left(\kappa ,p\right)-\left(b-c\right)F\left(\kappa ,p\right)\right]\hfill \\ +\frac{2}{3\left(a-c\right)\left(b-c\right)}\sqrt{\frac{\left(a-u\right)\left(u-b\right)}{{\left(u-c\right)}^{3}}}\hfill \end{array}$

BY (235.20)

$[a≥u>b>c]$

16.

$\begin{array}{ll}{\int }_{u}^{a}\frac{\text{d}x}{\sqrt{\left(a-x\right)\left(x-b\right){\left(x-c\right)}^{5}}}\hfill & =\frac{2}{3{\left(b-c\right)}^{2}\sqrt{{\left(a-c\right)}^{3}}}\left[2\left(a+b-2c\right)E\left(\lambda ,p\right)-\left(b-c\right)F\left(\lambda ,p\right)\right]\hfill \\ -\frac{2\left[a}{}\hfill \end{array}$

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