Lê Thanh Trúc
New member
Tìm nguyên hàm của hàm số \(f\left( x \right) = x\ln \left( {x + 2} \right)\).
A. \(\int {f\left( x \right){\rm{d}}x} = \frac{{{x^2}}}{2}\ln \left( {x + 2} \right) - \frac{{{x^2} + 4x}}{4} + C\).
B. \(\int {f\left( x \right){\rm{d}}x} = \frac{{{x^2} - 4}}{2}\ln \left( {x + 2} \right) - \frac{{{x^2} - 4x}}{4} + C\).
C. \(\int {f\left( x \right){\rm{d}}x} = \frac{{{x^2}}}{2}\ln \left( {x + 2} \right) - \frac{{{x^2} + 4x}}{2} + C\).
D. \(\int {f\left( x \right){\rm{d}}x} = \frac{{{x^2} - 4}}{2}\ln \left( {x + 2} \right) - \frac{{{x^2} + 4x}}{2} + C\).
A. \(\int {f\left( x \right){\rm{d}}x} = \frac{{{x^2}}}{2}\ln \left( {x + 2} \right) - \frac{{{x^2} + 4x}}{4} + C\).
B. \(\int {f\left( x \right){\rm{d}}x} = \frac{{{x^2} - 4}}{2}\ln \left( {x + 2} \right) - \frac{{{x^2} - 4x}}{4} + C\).
C. \(\int {f\left( x \right){\rm{d}}x} = \frac{{{x^2}}}{2}\ln \left( {x + 2} \right) - \frac{{{x^2} + 4x}}{2} + C\).
D. \(\int {f\left( x \right){\rm{d}}x} = \frac{{{x^2} - 4}}{2}\ln \left( {x + 2} \right) - \frac{{{x^2} + 4x}}{2} + C\).