" 4."int(a)^( pi/2)e^(x)sin xdx=...

" 4."int_(a)^( pi/2)e^(x)sin xdx=

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int_(0)^( pi/2)e^(x)sin xdx=

int_(0)^( pi/2)e^(e^x)e^xdx=

int_(-pi/2)^( pi/2)x^(2)sin xdx

int_(0)^( pi/2)x sin xdx

int_(0)^( pi/2)e^(x)xdx=

int_(-pi/2)^( pi/2)x*sin xdx

Show that: int_(0)^( pi/2)f(sin2x)sin xdx=sqrt(2)int_(0)^( pi/4)f(cos2x)cos xdx

int_(0)^( pi/2)x sin x cos xdx

int_ (0) ^ (pi / 2) x sin xdx

int_(0)^(pi/2)cos^2x sin^2xdx

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