If `int_(-a)^(a)(e^(x)+cos x*sin^(4)x*x^(7))dx>(3)/(2)` then the possible value of `a` is/are

int(cos x)/(sin^(7)x)dx

Let (d)/(dx)(F(x))=(e^(sin x))/(x),x>0. If int_(1)^(4)2(e^(sin(x^(2))))/(x)dx=F(k)-F(1), then possible value of k is:

int(e^(x)+2sin x-3cos x)dx

int(cos x)/(3-4sin^(2)x)dx

int(cos x+3sin x)e^(3x)dx

int(e^(x)-sin x)/(cos x+e^(x))dx

int(e^(x)+cos x)/(e^(x) +sin x) dx

int e^(2x) sin x cos x dx

7. int_(0)^( pi/2)e^(x)((1+sin x)/(1+cos x))dx

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