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Mathematics 12 Online
OpenStudy (diamondboy):

Question...

OpenStudy (diamondboy):

\[\int\limits_{}^{}-11\cos(z) dz\] Find the antiderivative

OpenStudy (diamondboy):

@phi

OpenStudy (phi):

do you know the derivative of sin(z) ?

OpenStudy (diamondboy):

yep..... -Cos(z)

OpenStudy (phi):

just cos(z)

OpenStudy (diamondboy):

oooh...I am sorry

OpenStudy (diamondboy):

I did the antiderivative instead

OpenStudy (phi):

so the problem is \[ -11 \int \cos z \ dz \] and you know \[ d \sin z = \cos z\ dz \] and \[ \int d \sin z = \int \cos z\ dz\\ \sin z = \int \cos z\ dz\]

OpenStudy (diamondboy):

ok

OpenStudy (diamondboy):

thanks bro

OpenStudy (phi):

and when you integrate you should also add + C for the constant of integration

OpenStudy (diamondboy):

yep...that C

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