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1. Giai bat pt: $\sqrt{ \log^2_{\dfrac{1}{2}} \dfrac{2x}{4- x}-4} \leq \sqrt{5} $

2. tich phan: $\int\limits_{0}^{4} {\dfrac{(x + 1) dx }{ (1 + \sqrt{1+ 2x} )^2}}$

3. he pt: $\dfrac{1}{x} + \dfrac{1}{ y + 1} = 1$
$\dfrac{1}{y}+ \dfrac{1}{x- 1} = 2$

1. 2cos x + 1/3cos^2 (x+ 3pi) = 8/3 + sin2(x- pi) + 3cos(x + 10,5pi) + 1/3sin^2 x
2. :sqrt{3} sin2x.( 2cosx + 1) + 2 = cos3x + cos2x - 3cosx

Giải hệ : $\left\{ \begin{array}{l}x - 2y - \sqrt {xy} = 0\\\sqrt {x - 1} + \sqrt {4y - 1} = 2\end{array} \right.$

1.$\int\limits_e^{{e^2}} {\dfrac{{dx}}{{x\ln x.\ln ex}}} $


2.$\int\limits_0^{\dfrac{\pi }{2}} {\dfrac{{\sin xdx}}{{{{\left( {\sin x + \cos x} \right)}^3}}}} $

1, $\cos x = 8{\sin ^3}\left( {x + \dfrac{\pi }{6}} \right)$
2,$\dfrac{{\left[ {\left( {\sin 2x - \sin x + 4} \right).\cos x - 2} \right]}}{{2\sin x + \sqrt 3 }} = 0$

3, $\dfrac{{\cot x}}{{\sqrt 2 }} + \dfrac{\sin 2x}{\sin x + \cos x} = 2\sin \left( {x + \dfrac{\pi }{2}} \right)$.



P/s:Gõ lại latex bạn nha !