Cho \(F\left( x \right)\) là một nguyên hàm của hàm số \(f\left( x \right) = x\ln x\) thỏa mãn \(F\left( 1 \right) = \dfrac{3}{4}\). Tìm \(F\left( x \right)\).
A.\(F\left( x \right) = \dfrac{{{x^2}}}{2}\ln x - \dfrac{{{x^2}}}{4} + 1\).
B.\(F\left( x \right) = \dfrac{{{x^2}}}{2}\ln x - \dfrac{{{x^2}}}{4} + \dfrac{1}{2}\).
C.\(F\left( x \right) = \dfrac{{{x^2}}}{2}\ln x + \dfrac{{{x^2}}}{4} + \dfrac{1}{2}\).
D.\(F\left( x \right) = {x^2}\ln x - \dfrac{{{x^2}}}{2} + \dfrac{1}{4}\).
A.\(F\left( x \right) = \dfrac{{{x^2}}}{2}\ln x - \dfrac{{{x^2}}}{4} + 1\).
B.\(F\left( x \right) = \dfrac{{{x^2}}}{2}\ln x - \dfrac{{{x^2}}}{4} + \dfrac{1}{2}\).
C.\(F\left( x \right) = \dfrac{{{x^2}}}{2}\ln x + \dfrac{{{x^2}}}{4} + \dfrac{1}{2}\).
D.\(F\left( x \right) = {x^2}\ln x - \dfrac{{{x^2}}}{2} + \dfrac{1}{4}\).
Loga
Hóa Học lớp 12
