Question

Tolong nomor 3, 4 dan 5... Tugas sudah harus dikumpulkan hari senin... Trima kasihh

Answer 1

3)
misal U = x³ + π
du = 3x² dx
x² dx = 1/3 du
∫ x² . cos(x³ + π) dx = ∫ 1/3 cos u du 
= - 1/3 sin u + c
= - 1/3 sin(x³ + π)
..

4)
u = 1 - sin x 
du = cos x dx
∫ cos x .√(1 - sin x) dx = ∫ u¹/² du 
= 2/3 u ³/² + c
= 2/3 u √ u + c
= 2/3 (1 - sin x) √(1 - sin x) + c

5)
u = sin 2x
du = 2 cos 2x  dx
cos 2x dx  = 1/2 du

∫ sin⁴ 2x. cos 2x dx= ∫ 1/2 u⁴  du = 1/2 (1/5) u⁵ + c
= 1/10 u⁵ + c
= (1/10). sin⁵ 2x + c