Question

Answer 1

\(f\left(x\right)=x\left(x^2+1\right)^{???}\)

Trong chỗ ??? kia là số mấy vậy nhỉ? Ko nhìn rõ

Answer 2

\(F\left(x\right)=\int x\left(x^2+1\right)^5dx=\dfrac{1}{2}\int\left(x^2+1\right)^5d\left(x^2+1\right)=\dfrac{1}{12}\left(x^2+1\right)^6+C\)

\(F\left(0\right)=3\Rightarrow\dfrac{1}{12}+C=3\Rightarrow C=\dfrac{35}{12}\)

\(\Rightarrow F\left(x\right)=\dfrac{\left(x^2+1\right)^6+35}{12}\)