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- Improper integral
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How to use it?
- Integral of d{x}:
- Integral of log(1+x)/x^2
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Integral of (x-x^2)
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Integral of x/(x^2+4*x+8)
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Integral of x*sqrt(1-x^2)dx
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Identical expressions
- ((ln^ nine (three x+ nine)))/(x+3)
- ((ln to the power of 9(3x plus 9))) divide by (x plus 3)
- ((ln to the power of nine (three x plus nine))) divide by (x plus 3)
- ((ln9(3x+9)))/(x+3)
- ln93x+9/x+3
- ((ln⁹(3x+9)))/(x+3)
- ln^93x+9/x+3
- ((ln^9(3x+9))) divide by (x+3)
- ((ln^9(3x+9)))/(x+3)dx
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Similar expressions
- ((ln^9(3x-9)))/(x+3)
- ((ln^9(3x+9)))/(x-3)
Integral of ((ln^9(3x+9)))/(x+3) dx
The solution
You have entered
[src]
1 / | | 9 | log (3*x + 9) | ------------- dx | x + 3 | / 0
$$\int\limits_{0}^{1} \frac{\log{\left(3 x + 9 \right)}^{9}}{x + 3}\, dx$$
Integral(log(3*x + 9)^9/(x + 3), (x, 0, 1))
The graph
The answer
[src]
10 10
log (9) log (12)
- -------- + ---------
10 10
$$- \frac{\log{\left(9 \right)}^{10}}{10} + \frac{\log{\left(12 \right)}^{10}}{10}$$
=
=
10 10
log (9) log (12)
- -------- + ---------
10 10
$$- \frac{\log{\left(9 \right)}^{10}}{10} + \frac{\log{\left(12 \right)}^{10}}{10}$$
-log(9)^10/10 + log(12)^10/10
Use the examples entering the upper and lower limits of integration.