giai dum cai nek.hjhj

H

hoanghondo94

....
[TEX]\int\frac{sinx+cosx}{sqrt{3+sin2x}}dx[/TEX]
co ai biet giai ko nek

Có mình biết giải nek , he :)

[TEX]{\color{Blue} \int \frac{sinx+cosx}{\sqrt{3+sin2x}} dx=\int \frac{sinx+cosx}{\sqrt{4-(sinx-cosx)^2}}dx[/TEX]

[TEX]{\color{Blue} Dat \ sinx-cosx=2cosu \Rightarrow (cosx+sinx)dx=-2sinudu[/TEX]

[TEX]{\color{Blue} \int \frac{-2sinudu}{\sqrt{4(1-cos^2u)}}[/TEX]
:p
 
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