Tính \(\int {x{{({x^2} + 7)}^{15}}{\rm{d}}} x\)

Câu hỏi: Tính \(\int {x{{({x^2} + 7)}^{15}}{\rm{d}}} x\)

A. \(\int {x{{({x^2} + 7)}^{15}}{\rm{d}}} x = \frac{1}{2}{\left( {{x^2} + 7} \right)^{16}} + C\)

B. \(\int {x{{({x^2} + 7)}^{15}}{\rm{d}}} x = \frac{1}{{32}}{\left( {{x^2} + 7} \right)^{16}} + C\)

C. \(\int {x{{({x^2} + 7)}^{15}}{\rm{d}}} x =  - \frac{1}{{32}}{\left( {{x^2} + 7} \right)^{16}} + C\)

D. \(\int {x{{({x^2} + 7)}^{15}}{\rm{d}}} x = \frac{1}{{16}}{\left( {{x^2} + 7} \right)^{16}} + C\)