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int(0)^(pi//2) e^(x^(2))/(e^(x^(2)+ e^((...

`int_(0)^(pi//2) e^(x^(2))/(e^(x^(2)+ e^((pi/2-x)^(2))))dx=`

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

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

int_(0)^(pi//2)e^(x)sinx dx=

int_(0)^(pi//2)e^(x)sinx dx=

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

int_0^(pi/2)e^x cosxdx

Let I_(1)=int_(0)^(pi//4)e^(x^(2))dx, I_(2) = int_(0)^(pi//4) e^(x)dx, I_(3) = int_(0)^(pi//4)e^(x^(2)).cos x dx , then :

Let I_(1)=int_(0)^(pi//4)e^(x^(2))dx, I_(2) = int_(0)^(pi//4) e^(x)dx, I_(3) = int_(0)^(pi//4)e^(x^(2)).sin x dx , then :

int_(0)^(pi//2) e^x(sinx+cosx) dx

int_(0)^(pi//4)(e^(tanx))/(cos^(2)x)dx=