If `f(x)=int_1^x(lnt)/(1+t)dt` where x gt0, then the values of of x satisfying the equation `f(...

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If `f(x)=int_1^x(lnt)/(1+t)dt`, then If `f(x)=int_1^x(lnt)/(1+t)dt`, then
JEE Main 2023 𝒇(𝒙)+∫_𝟎^𝒙〖𝒇(𝒕)√(𝟏−(𝐥𝐧 𝒇(𝒕))^𝟐 ) 𝒅𝒕〗=𝒆 ∀𝒙∈[𝟎,𝝅/𝟐] then (𝟔 𝐥𝐧𝒇(𝝅/𝟔))^𝟐 is equal to JEE Main 2023 𝒇(𝒙)+∫_𝟎^𝒙〖𝒇(𝒕)√(𝟏−(𝐥𝐧 𝒇(𝒕))^𝟐 ) 𝒅𝒕〗=𝒆 ∀𝒙∈[𝟎,𝝅/𝟐] then (𝟔 𝐥𝐧𝒇(𝝅/𝟔))^𝟐 is equal to
If ∫_0^x f(t) dt = x^2 + ∫_x^1 t^2 f(t) dt, then the value of f If ∫_0^x f(t) dt = x^2 + ∫_x^1 t^2 f(t) dt, then the value of f'(1/2) is @EasyMath4Jeee
Find the value of the function `f(x)=1+x+int_1^x((lnt)^2+2lnt) dt` where `f Find the value of the function `f(x)=1+x+int_1^x((lnt)^2+2lnt) dt` where `f'(x)` vanishes
How REAL Men Integrate Functions How REAL Men Integrate Functions
For `x gt0`, let `f(x)=int_1^x log_et/(1+t)dt` find the function `f(x)+f(1/x)` and show that `f... For `x gt0`, let `f(x)=int_1^x log_et/(1+t)dt` find the function `f(x)+f(1/x)` and show that `f...
Find the function f(x) + f(1/x) where f(x) is integral of lnt / (1 + t) between the limits 1 and x. Find the function f(x) + f(1/x) where f(x) is integral of lnt / (1 + t) between the limits 1 and x.
Let F(x) = f(x) + f(1/x), where f(x) = ∫_1^x▒(log t)/(1+t) dt. Then F(e) equals a)1/2 b)0 c)1 d)2 Let F(x) = f(x) + f(1/x), where f(x) = ∫_1^x▒(log t)/(1+t) dt. Then F(e) equals a)1/2 b)0 c)1 d)2