Question

Alguem sabe essa? preciso urgente

Answer 1

$\LARGE\tt{}\int x ( 5 + 3 x ^ { 2 } ) ^ { 8 } d x \\ \LARGE\tt{} \int \frac{ {t}^{8} }{6} dt \\ \\ \LARGE\tt{} \dfrac{1}{6} \times \int {t}^{8} dt \\ \\ \LARGE\tt{} \dfrac{1}{6} \times \frac{ {t}^{9} }{9} \\ \\ \LARGE\tt{} \dfrac{1}{6} \times \dfrac{\left(5 + {3x}^{2} \right)^{9} }{9} \\ \\ \LARGE\tt{} \dfrac{\left(5 + 3 {x}^{2} \right)}{54} ^{9} \\ \\ \LARGE\tt{} \boxed{ \frac{\left(5 + {3x}^{2} \right)}{54} + C }$

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