- #1

in the rye

- 83

- 6

## Homework Statement

∫sinxcos(x/2)dx

This isn't an actual homework problem, but one I found that I'm working on for test prep.

## Homework Equations

## The Attempt at a Solution

[/B]

∫sinxcos(x/2) dx = ∫sinx√((1+cosx)/2) dx

u = ½ + ½ cosx

-2 du = sinx dx

-2∫√(u) du = -2(2/3⋅u

^{3/2}) + c

-2(2/3⋅u

^{3/2}) + c = -4/3⋅[(1+cosx)/2)

^{3/2}] + c

-4/3⋅[(1+cosx)/2)

^{3/2}] = -4/3⋅(cos(x/2))

^{3/2}+ c

I tried to check my solution by graphing my answer with theirs, but the table is displaying different values.

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