$|a+b| \neq |a|+|b|$, in fact, by the triangle inequality, $$|a+b| \leq |a|+|b|$$
#integral
clear stone
exotic hazelBOT
civil_service_pigeon
clear stone
I'd rewrite sinx+cosx using ||a compound angle formula||
barren osprey
I recommend combining sine and cosine into a single sinusoid. Then you will be able to see where it's positive or negative and split the integral accordingly.
clear stone
^ basically what I said but explained better
barren osprey
Uh...
A sinusoid is a function of the form A sin(ax + b) or A cos(ax + b).
Ah, yeah. Harmonic addition theorem.
You're welcome!
clear stone
,w integrate |cosx+sinx| from -pi to pi
exotic hazelBOT
