For the function f(x) = sinx*cosx the integral of it by u-substitution

[Panphobia]

For the function f(x) = sinx*cosx the integral of it by u-substitution could be -(cosx)^2/2 or (sinx)^2/2, which one is right for an assignment or would I need to state both? Also for a person taking first year physics, what kinds of integration will I need to know past, integration by parts, and integration by substitution?

 

[Dick]

For the function f(x) = sinx*cosx the integral of it by u-substitution could be -(cosx)^2/2 or (sinx)^2/2, which one is right for an assignment or would I need to state both? Also for a person taking first year physics, what kinds of integration will I need to know past, integration by parts, and integration by substitution?

Since -(cosx)^2/2+1/2=(sinx)^2/2 they are both fine, as long as you remember to add the '+C' part. That sounds like enough integration tricks. Maybe trig substitutions as well.

 

[Panphobia]

Thanks for the help Dick!