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OpenStudy (anonymous):
Find the general antiderivative of f(t)=6t
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geerky42 (geerky42):
\[\int cx^n \mathrm d x =c\int x^n\mathrm dx= \dfrac{cx^{n+1}}{n+1}\]
geerky42 (geerky42):
I forgot constant lol.
OpenStudy (anonymous):
ok lol im still lost
geerky42 (geerky42):
You are familiar with some antiderivative rules? @mike95
OpenStudy (anonymous):
not really
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geerky42 (geerky42):
What have you learned so far?
OpenStudy (anonymous):
im just not familiar with antiderivatives at all
OpenStudy (anonymous):
so if you could walk me through this problem i would appreciate it
geerky42 (geerky42):
well, I "learned" antiderivative by memorized rules lol...
Can you help @jim_thompson5910 ?
OpenStudy (anonymous):
do you know where i could find a chart of these rules then
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OpenStudy (anonymous):
so tell me if i did this right...
OpenStudy (anonymous):
im gonna change it to f(x) because its easier for me
OpenStudy (anonymous):
f(x)=6x is our given
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OpenStudy (anonymous):
we use the power rule and get 6x^2/2+c
OpenStudy (anonymous):
which results in 3x^2+c
geerky42 (geerky42):
That's right.
OpenStudy (anonymous):
thanks
geerky42 (geerky42):
no problem
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OpenStudy (anonymous):
another one?
OpenStudy (anonymous):
@geerky42 f(x)=x^2-4x+7
OpenStudy (anonymous):
x^3/3-2x^2+7x+c
geerky42 (geerky42):
Correct.
OpenStudy (anonymous):
ok im getting the hang ouf it thanks again pal.
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