PLEASE ANSWER CORRECTLY
PLEASE ANSWER CORRECTLY ax dx aar (log ay (loga)3 +c (log O None of these

Dear student

\int a^{a^{a^{x}}} a^{a^{x}} a^{x dx} = \int a^{a^{a^{x + a^{x} + x}}} dx Substitute u = a^{a^{x}} \Rightarrow dx = \frac{a^{- a^{x} - x}}{\log^{2} a} du, use a^{x} = \frac{logu}{loga}, x = \log (\frac{\log^{\frac{1}{loga}} u}{\log^{\frac{1}{loga}} a}) = \frac{1}{\log^{2} a} \int a^{u} du = \frac{1}{\log^{2} a} (\frac{a^{u}}{loga}) = \frac{a^{u}}{\log^{3} a} + C = \frac{a^{a^{a^{x}}}}{\log^{3} a} + C = \frac{a^{a^{a^{x}}}}{{(loga)}^{3}} + C

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​PLEASE ANSWER CORRECTLY​PLEASE ANSWER CORRECTLY ax dx aar (log ay (loga)3 +c (log O None of these