Tính tích phân $\displaystyle\int\limits_{0}^{1}(2x+1)^5\mathrm{\,d}x$.
$\displaystyle\int\limits_{0}^{1}(2x+1)^5\mathrm{\,d}x=\dfrac{1}{2}\cdot\dfrac{(2x+1)^6}{6}\bigg|_0^1=\dfrac{182}{3}$.