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" If "1=int(0)^(2)e^(x/2)sin((x)/(2)+(pi...

" If "1=int_(0)^(2)e^(x/2)sin((x)/(2)+(pi)/(4))dx" thenequals "

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

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

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

int_(0)^(2)(|sin x|)/([(x)/(pi)]+(1)/(2))dx

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

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int_(-2)^(0)(|sin x|)/([(x)/(pi)]+(1)/(2))dx

int_(0)^(pi//2)(sinxcosx)/((1+sin^(4)x))dx