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Exercise

∫log⁡elog⁡(10x3)dx\int\frac{\log e}{\sqrt{\log\left(10x^3\right)}}dx

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Final answer to the exercise

2log⁡(e)ln⁡∣10∣3103∑n=0∞(13)nln⁡∣10x3∣12(2n+1)(2n+1)(n!)+C0\frac{2\log \left(e\right)\sqrt{\ln\left|10\right|}}{3\sqrt[3]{10}}\sum_{n=0}^{\infty } \frac{\left(\frac{1}{3}\right)^n\ln\left|10x^3\right|^{\frac{1}{2}\left(2n+1\right)}}{\left(2n+1\right)\left(n!\right)}+C_0

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∫loge√log(10x3) dx
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