Pagsasama-sama ng mga bahagi?

Pagsasama-sama ng mga bahagi?
Anonim

Sagot:

# -2x ^ 2cos (3x) + (4xsin (3x)) / 3+ (4cos (3x)) / 9 + C #

Paliwanag:

Una, hayaan ang dahilan #6# upang iwanan kami # intx ^ 2sin (3x) dx #

Pagsasama ng mga bahagi: # intvu '= uv-intuv' #

# u '= sin (3x), u = -cos (3x) / 3 #

# v = x ^ 2, v '= 2x #

# 6 (- (x ^ 2cos (3x)) / 3 + 2 / 3intxcos (3x) dx) #

# u '= cos (3x), u = sin (3x) / 3 #

# v = x, v '= 1 #

# 6 (- (x ^ 2cos (3x)) / 3 + 2/3 ((xsin (3x)) / 3-intsin (3x) / 3dx)

# 6 (- (x ^ 2cos (3x)) / 3 + 2/3 ((xsin (3x)) / 3 + cos (3x) / 9)

# -2x ^ 2cos (3x) + (4xsin (3x)) / 3+ (4cos (3x)) / 9 + C #