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[int int(0)^(2 pi)e^((x)/(2))sin((x)/(2)...

[int int_(0)^(2 pi)e^((x)/(2))sin((x)/(2)+(pi)/(4))dx=],[[" (s) "," 1) "2sqrt(2)," 2) "0," 3) "2 pi," 4) "E]]

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int_(0)^(2pi)e^(x//2)sin((x)/(2)+(pi)/(4))dx=

int_(0)^(2pi)e^(x/2).sin(x/2+(pi)/4)dx=

int_(0)^( 2 pi)(dx)/(1+e^{sin x})

int_(0)^(2pi) e^(x//2) sin (x/2 + pi/4) dx=

int_(0)^(pi//4) (dx)/(2+sin^(2)x)=

int_(0)^( pi)sin(2*x)dx

int_0^(2pi) e^(x/2) sin (x/2+pi/4) dx =

" 0."int_(0)^( pi/4)(dx)/(2+sin^(2)x)=

int e^(x//2) sin ((pi)/(4)+ (pi)/(2) ) dx =

int_(0)^(pi) e^(x) sin 2 x dx=