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Mathematics 21 Online
OpenStudy (anonymous):

How can I solve the following attached calc problem?

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):

\[\int\limits_{-1}^{1}t ^{1/3}-4\]

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.

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?

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:

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.

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