anonymous
  • anonymous
How can I solve the following attached calc problem?
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
anonymous
  • anonymous
Sample problem:
anonymous
  • anonymous
\[\int_a^b (f(t)+g(t)) dt=\int_a^b f(t)dt+\int_a^b g(t)dt\]

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

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