`(1)/(2)int(dt)/((1+t))`

(-1)/(2)int(dt)/(sqrt(1-t)sqrt(t))

int(dt)/( sqrt(1-t)-t)

int(dt)/( sqrt(t-1))

(1)/(3)int(t*dt)/(sqrt(1+t))

If x=int_(0)^(oo)(dt)/((1+t^(2))(1+t^(2017))) , then (3x)/(pi) is equal to

The value of lim_(xto0)(1)/(x) int_(0)^(x)(1+ sin 2t)^(1/t) dt equals :

int(1)/(sqrt(t))dt

Let f : R rarr R be defined as f(x) = int_(-1)^(e^(x)) (dt)/(1+t^(2)) + int_(1)^(e^(x))(dt)/(1+t^(2)) then

The value of (int_(0)^(1)(dt)/(sqrt(1-t^(4))))/(int_(0)^(1)(1)/(sqrt(1+t^(4)))dt) is

If A = int_(1)^(sintheta) (t)/(1 + r^(2)) dt and B = int_(1)^("cosec"theta) (1)/(t(1 +t^(2))) dt , then the value of the determinant |(A,A^(2),B),(e^(A +B),B^(2),-1),(1,A^(2) + B^(2) ,-1)| is