Integration - Integrable Forms of Trigonometric Functions
Integration - Integrable Forms of Trigonometric Functions
Junior College 2
\[\int\sqrt{x+\sqrt{x}}\mathrm{d}x\]
Solution:
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Answer:\(\frac23(x+\sqrt x)^{\frac32}-\frac12(\sqrt x+\frac12)\sqrt{x+\sqrt x}+\frac18\ln(\sqrt x+\frac12+\sqrt{x+\sqrt x})+C\), on the real domain \(x\ge0\).
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