Tìm $\int x\ln (1+x)dx$

Question

Cơ bản

4 câu trả lời

Answer 1

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

Answer 2

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

Answer 3

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

Answer 4

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