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## Homework Statement

Integrating -e

^{-4t}sint

## Homework Equations

Our tutor suggested we did this by integrating by parts in a cyclic fashion and things would cancel out

## The Attempt at a Solution

Taking u = sint t; thus u'=cost

And v'=-e

^{-4t}; thus (1/4)e

^{-4t}

[tex]\int-e[/tex]

^{4t}sint = (1/4)e

^{-4t}sint-[tex]\int[/tex](1/4)e

^{-4t}cost

Taking u=cost thus u'= -sint

And v'=(1/4)e

^{-4t}; thus (-1/16)e

^{-4t}

[tex]\int-e[/tex]

^{4t}sint = (1/4)e

^{-4t}sint+(1/16)e

^{-4t}cost+(1/16)[tex]\int[/tex]e

^{-4t}sint

Nothing appears to cancel!]