Tìm $\int x \ln (1 + x) d x$

Question

Cơ bản

Tìm

\int x \ln (1 + x) d x

4 câu trả lời

Answer 1

\int x \ln (1 + x) d x = \frac{1}{2} (x^{2} - 1) \ln (1 - x) - \frac{x^{2}}{4} + \frac{x}{2} + C

Answer 2

\int x \ln (1 + x) d x = \frac{3}{2} (x^{2} - 1) \ln (1 - x) - \frac{x^{2}}{4} + \frac{x}{2} + C

Answer 3

\int x \ln (1 + x) d x = \frac{1}{2} (x^{2} + 1) \ln (1 - x) - \frac{x^{2}}{4} + \frac{x}{2} + C

Answer 4

\int x \ln (1 + x) d x = \frac{1}{2} (x^{2} - 2) \ln (1 - x) - \frac{x^{2}}{4} + \frac{x}{2} + C

Tìm ∫xln⁡(1+x)dx