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∫ [f'(x)g(x) - g'(x)f(x)]/[f(x)g(x)] dx = ln(f(x)/g(x)) + C

C is the constant of integration.

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โˆ™ 2010-11-05 10:00:11
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A polynomial of degree zero is a constant term

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Q: What is the integral of the quantity of the derivative with respect to x of the function f times another function of x defined as g subtracted by g prime times f divided by f times g with respect to x?
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Related questions

What is the integral of the quantity of the derivative with respect to x of the function f times another function of x defined as g subtracted by g prime times f divided by g squared with respect to x?

∫ [f'(x)g(x) - g'(x)f(x)]/g(x)2 dx = f(x)/g(x) + C C is the constant of integration.


Equation for marginal cost and average cost?

Marginal cost - the derivative of the cost function with respect to quantity. Average cost - the cost function divided by quantity (q).


What is the title or a number or quantity from which another is to be subtracted?

The minuend.


What is the meaning of subtrahend?

A quantity or number to be subtracted from another.


What are derivates?

The spacial derivative is the measure of a quantity as and how it is being changed in space. This is different from a temporal derivative and partial derivative.


What is the integral of the derivative with respect to x of the function f divided by the square root of the quantity a times f plus b with respect to x?

∫ f'(x)/√(af(x) + b) dx = 2√(af(x) + b)/a + C C is the constant of integration.


What are spacial derivatives?

The spacial derivative is the measure of a quantity as and how it is being changed in space. This is different from a temporal derivative and partial derivative.


What does the words decreased by mean in an operation in math?

The quantity subtracted.


The ammount that remains after one quantity is subtracted from another?

the difference


How do you calculate unit cost as you increase production?

Increase in cost: take the first derivative with respect to the unit produced of a cost function. Total cost: sub-in the new quantity into the cost function.


What is deducted mean?

To have taken away a quantity from another i.e. subtracted


What is the integral of the derivative with respect to x of the function f divided by the square root of the quantity f squared plus a constant with respect to x?

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