[x=(sqrt(pi))/(2)],[" 8.Evaluate "int e^(i pi){af(x)+f'(x)}dx]

Write a value of int e^(ax){af(x)+f'(x)}dx

Evaluate int_(-pi)^(pi)(xsinx)/(e^(x)+1)dx

Evaluate : int_(-pi/2)^( pi/2)(cos x)/(1+e^(x))dx

Evaluate : int_(0)^(pi/2) e^x cos x dx .

Evaluate: int_(-pi)^pi(xsinx dx)/(e^x+1)

Evaluate: int_(-pi)^pi(xsinx dx)/(e^x+1)

Evaluate: int_(-pi)^pi(xsinx dx)/(e^x+1)

Evaluate: int_(-pi)^pi(xsinx dx)/(e^x+1)

If int_ (0)^(oo) e^(-x^(2)) dx = (sqrt (pi))/(2), and int_ (0)^(oo) e^(-ax^(2) ) dx, a> 0 is (i) (sqrt (pi))/(2) (ii) (sqrt (pi))/(2a) (iii) 2 (sqrt (pi))/(a) (iv) (1)/(2) sqrt ((pi)/(a))

Evaluate: int_(-pi/2)^( pi/2)(x sin x)/(e^(x)+1)dx