Home
Class 12
MATHS
Let f(x) is a continuous function If f(...

Let `f(x)` is a continuous function If `f(1) = 1 and int_0^x t.f(2x - t)dt = 1/2tan^-1 (x^2)` then the value of aſ `4 int_1^2 f(x)dx` is equal to

Promotional Banner

Similar Questions

Explore conceptually related problems

If int_0^x(f(t))dt=x+int_x^1(t^2.f(t))dt+pi/4-1 , then the value of the integral int_-1^1(f(x))dx is equal to

If int_[x]^(x+1) f(t)dt =[x] then th value of int_(-2)^4 f(x) dx is equal

If int_0^x f(t) dt = x + int_x^l tf (t) dt , then the value of f(1) is :

f(x)=int_0^x f(t) dt=x+int_x^1 tf(t)dt, then the value of f(1) is

If f(x) = int_1^x (1)/(2 + t^4) dt ,then

Let f:R in R be a continuous function such that f(1)=2. If lim_(x to 1) int_(2)^(f(x)) (2t)/(x-1)dt=4 , then the value of f'(1) is

If int_0^x f(t) dt=x+int_x^1 tf(t)dt, then the value of f(1) is

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

Let f:R in R be a continuous function such that f(1)=2. If lim_(x to 1) int-(2)^(f(x)) (2t)/(x-1)dt=4 , then the value of f'(1) is