Question

Integral.
No. 4

(Mohon jelaskan pakai cara, ya)

Answer 1

@
intergral parsial dengan tabel
int x² cos 2x dx =
x² ..........cos 2x
2x..........1/2 sin 2x
2 ...........-1/4 cos  2x
0 ...........-1/8 sin 2x
= (x²)(1/2 sin 2x) - 2x(-1/4 cos 2x) + 2(-1/8  sin 2x) + c
= 1/2 x²  sin 2x + 1/2 x cos 2x - 1/4 sin 2x + c
= 1/2 ( x² sin 2x - 2 sin 2x   +  x cos 2x) + c