Term
What is the Antiderivative of this?
Ax^ndx
If n is not equal to -1
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Definition
A(1/n+1)x^(n+1)+C
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Term
What is the Antiderivative of this?
Ax^ndx
If n is equal to -1
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Definition
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Term
What is the Antiderivative of this?
e^kxdx
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Definition
(1/k)e^kx+C
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Term
How do you find the Antiderivative of this function where u is the most complicated part of the function?
Au^ndx
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Definition
1.) Find u
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2.) u' = du/dx
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3.) dx = du/u'
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4.) Au(du/u')
Find what can be eliminated between A and u' and eliminate them. Then set du=1, and multiply. Determine a new 'A' if possible and then take the antiderivative of the problem.
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Term
What are tips for finding the antiderivative in which there is a 'u'?
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Definition
1.) Find u'
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2.) Set the original function next to 1/u' and factor out common factors between the A value of the original function and u'.
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3.) Multiply them together
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4.) Take the antiderivative of the function unless the function is exponential in which for some reason you just add "+C", substitute the value of 'u' back in, and your done.
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