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1/ln(x)*e^(1/x)

if you differentiate e^(1/x), you will get ln(x)*e^(1/x). times this by 1/ln(x) and you get you original equation. Peace

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Q: What is the antiderivative of e to the power of one divided by x?
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What is the antiderivative of e to the power of one divided by -x?

Powers of e are simple to integrate. The derivative of eu equals u'eu; inversely, the antiderivative of eu equals eu/u'. Therefore, the antiderivative of e1/-x equals (e1/-x)/{d/dx[1/-x]}. The derivative of 1/-x, which can also be expressed as x-1, equals (-1)x(-1-1) = -x-2 = -1/x2.


Is there any other anti derivative of 1 divided by x?

The antiderivative of 1/x is ln(x) + C. That is, to the natural (base-e) logarithm, you can add any constant, and still have an antiderivative. For example, ln(x) + 5. These are the only antiderivatives; there are no different functions that have the same derivatives. This is valid, in general, for all antiderivatives: if you have one antiderivative of a function, all other antiderivatives are obtained by adding a constant.


What is the antiderivative of e to the 3x?

int(e 3x) = (1/3)e 3x ========


What is an integral of ex logx?

if you mean e to the x power times log of x, it is e to the x divided by x


What does the Number e to the power of zero equal?

one.

Related questions

What is the antiderivative of e to the power of one divided by -x?

Powers of e are simple to integrate. The derivative of eu equals u'eu; inversely, the antiderivative of eu equals eu/u'. Therefore, the antiderivative of e1/-x equals (e1/-x)/{d/dx[1/-x]}. The derivative of 1/-x, which can also be expressed as x-1, equals (-1)x(-1-1) = -x-2 = -1/x2.


Integral of e to the power of x?

The antiderivative, or indefinite integral, of ex, is ex + C.


What is the antiderivative of e to the -x?

-e-x + C.


What is the antiderivative of xex?

One can use integration by parts to solve this. The answer is (x-1)e^x.


Is there any other anti derivative of 1 divided by x?

The antiderivative of 1/x is ln(x) + C. That is, to the natural (base-e) logarithm, you can add any constant, and still have an antiderivative. For example, ln(x) + 5. These are the only antiderivatives; there are no different functions that have the same derivatives. This is valid, in general, for all antiderivatives: if you have one antiderivative of a function, all other antiderivatives are obtained by adding a constant.


What is the antiderivative of e to the 3x?

int(e 3x) = (1/3)e 3x ========


What is the antiderivative of e raised to the one tenth x?

The integral would be 10e(1/10)x+c


What is the formula for calculating power in words?

Power is energy divided by time, P=E/t.


Which of the following is the proper unit for measuring power?

You gave no examples to choose from. Power is Energy divided by time. P = E/t In the metric system, the unit of power is the Watt. One Watt is one Joule per second, energy divided by time, 1 J/s. Power is the rate of change of energy.


What is an integral of ex logx?

if you mean e to the x power times log of x, it is e to the x divided by x


Is power equal to work divided by time?

Average power equals Work divided by time. P= W/t


What has the author James E Preston written?

James E. Preston has written: 'One world divided'