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CalculusEasyNon-Elementary Integration

Non-Elementary Integration · Easy problem

Use King's rule ∫abf(x) dx=∫abf(a+b−x) dx\displaystyle\int_a^b f(x)\,dx=\int_a^b f(a+b-x)\,dx to evaluate ∫04xx+4−x dx\displaystyle\int_0^{4}\dfrac{\sqrt{x}}{\sqrt{x}+\sqrt{4-x}}\,dx.