integration question (1 Viewer)

[fuckit1991]

hey got a integration by sub question.
using the substitution x=pi - y , evalute integrand(xsin^3(x)) dx from pi to 0.
(the integral is read x multiplied by sine cubed x)

i get up to (pi-y)sin^3(y) dy but not sure of where to go form there

TIA

 

[Timothy.Siu]

hey got a integration by sub question.
using the substitution x=pi - y , evalute integrand(xsin^3(x)) dx from pi to 0.
(the integral is read x multiplied by sine cubed x)

i get up to (pi-y)sin^3(y) dy but not sure of where to go form there

TIA

split it and add it back,

split it to pisin^3(y) -ysin^3(y)
u can add the ysin^3(y) to the other side...and keep going

 

[EvoRevolution]

weird question does it work using parts

 

[Drongoski]

hey got a integration by sub question.
using the substitution x=pi - y , evalute integrand(xsin^3(x)) dx from pi to 0.
(the integral is read x multiplied by sine cubed x)

i get up to (pi-y)sin^3(y) dy but not sure of where to go form there

TIA

Is the answer 2pi/3 ?? If so I'll post solution.

 

[Trebla]

 

[fuckit1991]

the answer is 2pi/3 sorry for not including it earlier. ah i see what trebla is saying about the dummy variables...wasn't aware of this 'idea' so the question kinda stumped me... thanks to everyone who helped...appreciate it tons