Integral of 1/x+x^2ln5 dx
The solution
Detail solution
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Integrate term-by-term:
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The integral of a constant times a function is the constant times the integral of the function:
∫x2log(5)dx=log(5)∫x2dx
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The integral of xn is n+1xn+1 when n=−1:
∫x2dx=3x3
So, the result is: 3x3log(5)
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Don't know the steps in finding this integral.
But the integral is
log(x)
The result is: 3x3log(5)+log(x)
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Add the constant of integration:
3x3log(5)+log(x)+constant
The answer is:
3x3log(5)+log(x)+constant
The answer (Indefinite)
[src]
/
| 3
| / 1 2 \ x *log(5)
| |1*- + x *log(5)| dx = C + --------- + log(x)
| \ x / 3
|
/
logx+3log5x3
Use the examples entering the upper and lower limits of integration.