nice-calculus-prove-that-0-pi-2-2-x-1-sin-3-x-2-x-1-sin-3-x-cos-3-x-dx-lt-pi-8-m-n-1970-

Question Number 116846 by mnjuly1970 last updated on 07/Oct/20

\dots n i c e c a l c u l u s \dots

p r o v e t h a t ::

\int_{0}^{\frac{π}{2}} \sqrt{\frac{(2^{x} - 1) {s i n}^{3} (x)}{(2^{x} + 1) ({s i n}^{3} (x) + {c o s}^{3} (x))}} d x < \frac{π}{8}

\dots m . n . 1970 \dots

Commented by Lordose last updated on 08/Oct/20

solution needed

Commented by Lordose last updated on 13/Oct/20

\dots n i c e c a l c u l u s \dots

p r o v e t h a t ::

\int_{0}^{\frac{π}{2}} \sqrt{\frac{(2^{x} - 1) {s i n}^{3} (x)}{(2^{x} + 1) ({s i n}^{3} (x) + {c o s}^{3} (x))}} d x < \frac{π}{8}

\dots m . n . 1970 \dots

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