Hasil dari integral 4x(4x2-3)4dx adalah

jawab


∫ 4x ( 4x² -3)⁴ dx

= (4x/8x ) .(1/5) (4x² -3)⁵ + c

= 1/2. 1/5. (4x² - 3)⁵ + c

= 1/10 (4x² -3)⁵ + c

InTegraL

Misal :
u = 4x² - 3
du/dx = 8x
2 . 4x dx = du
4x dx = 1/2 du

•••
∫4x(4x² - 3)⁴ dx
= 1/2 ∫u⁴ du
= 1/2 . 1/5 . u^5 + C
= 1/10 (4x² - 3)^5 + C