Mathematics
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OpenStudy (anonymous):
How can I solve the following attached calc problem?
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OpenStudy (anonymous):
OpenStudy (anonymous):
Sample problem:
OpenStudy (anonymous):
\[\int_a^b (f(t)+g(t)) dt=\int_a^b f(t)dt+\int_a^b g(t)dt\]
OpenStudy (anonymous):
\[\sqrt[3]{t} = t ^{1/3}\]
OpenStudy (anonymous):
\[\int\limits_{-1}^{1}t ^{1/3}-4\]
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OpenStudy (anonymous):
Do you know what to do from there?
OpenStudy (anonymous):
No
OpenStudy (anonymous):
Do you have a calculus textbook?
OpenStudy (anonymous):
This is one of the first things you learn when integrating variables.
OpenStudy (anonymous):
Yes but problems like these aren't provided as examples. These are basically challenges.
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OpenStudy (anonymous):
Add one to the exponent and divide the term by that sum.
OpenStudy (anonymous):
\[\int\limits_{}^{}t ^{1/3} = {3 \over 4}t ^{4/3}\]
OpenStudy (anonymous):
\[\int\limits_{?}^{?}-4 dt = -4t\]
OpenStudy (anonymous):
3/4t^4/3 - 4t
OpenStudy (anonymous):
then: (3/4-4)-(3/4+4). Right?
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OpenStudy (anonymous):
\[{3 \over 4}t ^{4/3}-4t\]
OpenStudy (anonymous):
Close. (-1)^(4/3) = -1
OpenStudy (anonymous):
{(3/4) - 4} - {(-3/4) + 4}
OpenStudy (anonymous):
Answer: -8
OpenStudy (anonymous):
What about this:
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OpenStudy (anonymous):
Sample:
OpenStudy (anonymous):
No. Not -8
OpenStudy (anonymous):
But that's what I plugged in and it's right.
OpenStudy (anonymous):
You had the equation worked out wrong.
I said "Close".
OpenStudy (anonymous):
I mean, expression. You had the expression written out wrong based on the -1.