Integral of x/x^2 dx
The solution
Detail solution
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The integral of a constant times a function is the constant times the integral of the function:
∫x1dx=2∫x2dx
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Let u=x2.
Then let du=2xdx and substitute 2du:
∫2u1du
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Don't know the steps in finding this integral.
But the integral is
log(u)
Now substitute u back in:
log(x2)
So, the result is: 2log(x2)
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Add the constant of integration:
2log(x2)+constant
The answer is:
2log(x2)+constant
The answer (Indefinite)
[src]
/
| / 2\
| x log\x /
| -- dx = C + -------
| 2 2
| x
|
/
∫x2xdx=C+2log(x2)
Use the examples entering the upper and lower limits of integration.