Let `f(0)=0a n dint_0^2f^(prime)(2t)e^(f(2t))dt=5.t h e nv a l u eoff(4)i s` log 2 (b) log 7 (c) log 11 (d) log 13

Let f(0)=0a n dint_0^2f^(prime)(2t)e^(f(2t))dt=5.t h e nv a l u eoff(4)i s (a)log 2 (b) log 7 (c) log 11 (d) log 13

Let f(0)=0 and int_(0)^(2)f'(2t)e^(f(2t))dt=5. then value of f(4)islog2(b)log7(c)log11(d)log13

f(x)= int_(0)^(x) ln ((1-t)/(1+t))dt rArr

The value of int _(2) ^(4) ((log t )/( t)) dt is a) 1/2 (log 2) ^(2) b) 3/2 (log 2) ^(2) c) (log 2) ^(2) d) 5/2 (log 2) ^(2)

I=int_(0)^(-1)(t ln t)/(sqrt(1-t^(2)))dt=

If ninth term in the expansion of (3^(log)_3(9^((x-1)+7))+1/(3^ -1/8(log)_3(3^((x-1)+1))))^(11)"i s"660 ,"t h e nv a l u eo f"x"i s" 4 (b) 1 or 2 (c) 0 or 1 (d) 3

Let u=int_0^1("ln"(x+1))/(x^2+1)dx a n d v=int_0^(pi/2)ln(sin2x)dx ,t h e n (a) u=-pi/2ln2 (b) 4u+v=0 (c) u+4v=0 (d) u=pi/8ln2