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Solving integrals/ 1+ln(xy)dx

Integral of 1+ln(xy)dx dx

Limits of integration:

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Piecewise:

The solution

You have entered [src] 
  1                  
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 |  (1 + log(x*y)) dx
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0
∫01(log⁡(xy)+1) dx\int\limits_{0}^{1} \left(\log{\left(x y \right)} + 1\right)\, dx 
Integral(1 + log(x*y), (x, 0, 1))
The answer (Indefinite) [src] 
  /                            //       zoo*x         for y = 0\
 |                             ||                              |
 | (1 + log(x*y)) dx = C + x + |<-x*y + x*y*log(x*y)           |
 |                             ||-------------------  otherwise|
/                              \\         y                    /
∫(log⁡(xy)+1) dx=C+x+{∞~xfor y=0xylog⁡(xy)−xyyotherwise\int \left(\log{\left(x y \right)} + 1\right)\, dx = C + x + \begin{cases} \tilde{\infty} x & \text{for}\: y = 0 \\\frac{x y \log{\left(x y \right)} - x y}{y} & \text{otherwise} \end{cases}
Simplify
The answer [src] 
log(y)
log⁡(y)\log{\left(y \right)} 
=
= 
log(y)
log⁡(y)\log{\left(y \right)} 
log(y)

    Use the examples entering the upper and lower limits of integration.

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