Tentukan hasil dari \( \displaystyle \int (x^{3/2}-3x+14) \ dx \).
Pembahasan:
Berdasarkan sifat integral fungsi aljabar, kita peroleh berikut:
\begin{aligned} \int (x^{3/2}-3x+14) \ dx &= \int x^{3/2} \ dx - 3 \int x \ dx + \int 14 \ dx \\[8pt] &= \frac{2}{5}x^{5/2} - 3 \cdot \frac{1}{2}x^2 + 14x + C \\[8pt] &= \frac{2}{5}x^{5/2} - \frac{3}{2}x^2 + 14x + C \end{aligned}