Let f(t) be the minimum value of |3sin ...

Let `f(t)` be the minimum value of `|3sin x-4cos x+t+(4)/(t)|` where `x,t in R`. If the value of `int_(1)^(10)f(x)dx = 4(a+ln b),` where `a,b in Q,` then find the value of `(a+2b)`

Similar Questions

Explore conceptually related problems

Let f:R to R be continuous function such that f(x)=f(2x) for all x in R . If f(t)=3, then the value of int_(-1)^(1) f(f(x))dx , is

The value of int_(0)^(2pi)[sin2x(1+cos3x)] dx, where [t] denotes

If int_(0) ^(x) f (t) dt = x + int _(x ) ^(1) t f (t) dt, then the value of f (1) , is

If int_(a)^(b)(f(a+b-x))/(f(x)+f(a+b-x))dx=4 , then (a, b) can have the values

int_( where t>0 then find the value of (4a+b))^( If )(a sin4t)/(t)-1

if f(x) = int_(0)^(x) (t^2+2t+2) dt where x in [2,4] then

Let g(x) be differentiable on R and int_( sin t)^(1)x^(2)g(x)dx=(1-sin t), where t in(0,(pi)/(2)). Then the value of g((1)/(sqrt(2))) is

If f(x)=e^(g(x)) and g(x)=int_(2)^(x)(tdt)/(1+t^(4)), then find the value of f'(2)

If int _(0)^(x^(2)) f(t) dt = x cos pix , then the value of f(4) is

int_(0)^(ln3)(e^(x)+x)f(x)+(e^(x)+1)int_(0)^(x)f(t)dt=p(q+ln3)t then find the value of (p+q)