A very challenging integral
- Tolaso J Kos
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A very challenging integral
This comes from Sweden.
Prove that:
$$ \int_{25\pi/4}^{53\pi/4}\frac{{\rm d}x}{\left ( 1+2^{\sin x} \right )\left ( 1+2^{\cos x} \right )}=\frac{7\pi}{4}$$
Prove that:
$$ \int_{25\pi/4}^{53\pi/4}\frac{{\rm d}x}{\left ( 1+2^{\sin x} \right )\left ( 1+2^{\cos x} \right )}=\frac{7\pi}{4}$$
Imagination is much more important than knowledge.
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