If `int_0^t (bx cos(4x)-asin(4x))/x^2\ dx = (a sin4t)/t-1` where `t gt 0` then find the value of `(4a+ b).`

If int_(0)^(t)(bx cos4x-a sin4x)/(x^(2))=(a sin4t)/(t)-1 where 0

If int_0^t(bxcos4x-asin4x)/(x^2)=(asin4t)/t-1 where 0lttltpi/4, then the values of a , b are, respectively, equal to (A) 1 /4,1 (B) -1,4 (C) 2,2 (D) 2, 4

If int_0^t(bxcos4x-asin4x)/(x^2)=(asin4t)/t-1 where 0lttltpi/4, then the values of a , b are, respectively, equal to (A) 1 /4,1 (B) -1,4 (C) 2,2 (D) 2, 4

If int (bx cos4x - asin 4x )/x^2 dx = (asin4x)/x + c then a, b may be

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)

If int_(0)^(c)(bt cos4t-a sin4t)/(t^(2))dt=(a sin4x)/(x) for all x=0 then 4+(b)/(a)=...

If int_(0)^(x) (bt cos 4 t - a sin 4t)/( t^(2))dt=(a sin 4x)/(x) "for all" x ne0 , then a and b are given by

If int_(0)^(t^(2)) x f(x) dx=(2)/(5) t^(5) , t gt 0 , then the value of f((4)/(25)) is -

If t gt0 and t^(2)-4=0 , what is the value of t ?