`int_- 1^1(sin^(- 1)[x+3/4])dx=pi/k`, then k is where [ ] denotes GIF)

If int_-1^1(sin^-1[x^2+1/2]+cos^-1[x^2-1/2])dx=kpi where [x] denotes the integral part of x , then the value of k is …

If int_-1^1(sin^-1[x^2+1/2]+cos^-1[x^2-1/2])dx=kpi where [x] denotes the integral part of x , then the value of k is …

Evaluate int_(0)^(100)[tan^(-1)x] dx where [ ] denotes the GIF

For x in(0, (pi)/(2)) If int(tan x sqrt(sec x)(1+cos^(2)x))/(sqrt(cos x+sin^(2)x))dx=2sqrt(f(x)+1)+c and f((pi)/(3))=(3)/(2) then [f((pi)/(4))] = ( where [.] denotes G.I.F )

Consider qquad I_(K)=int_(0)^(K)[Tan^(-1)x]dx , where [.] denotes GIF function

Evaluate int_(0)^(2pi) [ sin x + cos x] dx where [ ] denotes the G.I.F.

The period of the function f(x)=4sin^(4)((4x-3 pi)/(6 pi^(2)))+2cos((4x-3 pi)/(3 pi^(2))) is k pi^(3) then the value of [1/k] (where [ ] denote the G.I.F )

Evaluate int_(0)^(2)[x^(2)-x+1]dx where [ ] denotes the GIF

If int_0^(k) (cos x)/(1+sin^(2)x) dx= pi/4 then k=