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where is question?

is it supposed to be cos instead of sin?

keep your derivatives in mind, what happens if you derive -cos(x)?

sin

exactly.

oh i just checked the answer sheet -_- it says cos...

1/2 (cos(2x)) + C

oh... i didn't get that at all. idk, the given answer is 1/2cos(2x) + C

is my u sub wrong?

OHHHHHH snap I get it! lol

oh the constant part i have no prob with hahaha general integrals = add or subtract c lol

i'm not sure if that is sarcasm because i was tempted to give you the definition lolll but thanks!

No, not sarcasm, just discouragement. I don't recommend that usage. It just isn't generally in use.

oh here it is. as long as we know the answer and the concept, it's all good.

exactly.

And perhaps that we managed to learn something else along the way. Good work.