Hasil dari integral (x^2-1) cos x dx?=....

jawab

∫ (x² -1) cos x dx
parsial
= (x² -1) sin x - (2x)(-cos x) + (2)(- sin x) + c
= (x² -1) sin x + 2x cos x - 2 sin x + c
= (x² - 1- 2) sin x + 2x cos x + c
= (x² -3) sin x  + 2x cos x + c

InTegraL Parsial

turunan.....integral
x² - 1 ........... cos x
2x ............... sin x
2 ................. - cos x
0 ................. - sin x

∫(x² - 1) cos x dx
= (x² - 1) sin x + 2x cos x - 2 sin x + C
= (x² - 1 - 2) sin x + 2x cos x + C
= (x² - 3) sin x + 2x cos x + C