Question

Evaluate the indefinite integral: 4xsin(x)dx

Answer 1

i believe the easiest way is to use by parts

Answer 2

aka tabulars method, are you in calculus 2?

Answer 3

i got it down to -4xcos(x)+4cos(x) but i don't know if thats right

Answer 4

yeah calculus 2

Answer 5

i think the second should be a sin x

Answer 6

-4xcos(x)+4sin(x)

Answer 7

thats right

Answer 8

\[\int\limits_{}^{}x \sin(x) dx=x \cdot( -\cos(x))-\int\limits_{}^{} 1 \cdot (-\cos(x)) dx=-x \cos(x)+\int\limits_{}^{}\cos(x) dx\]
\[=-x \cos(x)+\sin(x)+C\]
=>
\[4 \int\limits_{}^{} x \sin(x) dx=-4x \cos(x)+4 \sin(x)+K\]

Answer 9

I''ll show you tabulars in a drawing