int(sinh x+(1)/((x^(2)-1)^((1)/(2))))dx,x in I sub(-oo,-1)uu(1,oo)

Evaluate the integerals. int (sin h x+(1)/((x^(2) -1) ^(1/2)))dx. x in I sub (-oo, -1) uu(1,oo)

int_(0)^(oo)((tan^(-1)x)/((1+x^(2))))dx

Solution set of the inequality sin^(-1)((sin(2x^(2)+3))/(x^(2)+1))<=pi-(5)/(2) is-a.(-oo,1)uu(1,oo) b.[-1,1] c.(-1,1) d.(-oo,-1]uu[1,oo)

Find int (1- (1)/(x^(2)))e^((x+(1)/(x)))dx on I where I=(0,oo).

int (1)/((x+3) sqrt(x+2))dx on I sub (-2, oo).

Find int (1-(1)/(x^2))e^((x+(1)/(x)))dx on I where I=(0,oo) .

int (sinh x )/(1+ sinh^(2)x) dx=

int_(0)^(oo)((1)/(x^(2)+1))dx

If y=(x)/(sqrt(a^(2)-1))-(2)/(sqrt(a^(2)-1))tan^(-1)((sin x)/(a+sqrt(a^(2)-1)+cos x)) where a (-oo,-1)uu(1,oo) then y'((pi)/(2)) equals

int((1)/(sqrt(x))+(2)/(sqrt(x^(2)-1))-(3)/(2x^(2)))dx on (1,oo)