$\displaystyle\int{\frac{1}{x{{\left( 1-\ln x \right)}^{5}}}\mathrm{d}x}$ \(\displaystyle\int{\fra

Question

$\displaystyle\int{\frac{1}{x{{\left( 1-\ln x \right)}^{5}}}\mathrm{d}x}$ $\displaystyle\int{\frac{1}{\sqrt{x}{{\left( 1-\sqrt{x} \right)}^{5}}}\mathrm{d}x}$

Accepted Answer

(i) $\displaystyle\frac{1}{4(1-\ln x)^4} + C$; (ii) $\displaystyle\frac{1}{2(1-\sqrt{x})^4} + C$

Techniques of Integration - Reverse Chain Rule with Logarithmic and Radical Inner Functions

Techniques of Integration - Reverse Chain Rule with Logarithmic and Radical Inner Functions

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