Mister Exam
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- Improper integral
- Double Integral
- Triple Integral
- Curvilinear integral
- Derivative Step by Step
- Differential equations Step by Step
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How to use it?
- Integral of d{x}:
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Integral of x^4lnx
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Integral of dx/sinxcosx
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Integral of (2x+3)
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Integral of 1/(1-cos(x))
- Graphing y =:
- x/((x-2)(x+3))
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Identical expressions
- x/((x- two)(x+ three))
- x divide by ((x minus 2)(x plus 3))
- x divide by ((x minus two)(x plus three))
- x/x-2x+3
- x divide by ((x-2)(x+3))
- x/((x-2)(x+3))dx
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Similar expressions
- x/((x-2)(x-3))
- x/((x+2)(x+3))
Integral of x/((x-2)(x+3)) dx
The solution
You have entered
[src]
1 / | | x | --------------- dx | (x - 2)*(x + 3) | / 0
$$\int\limits_{0}^{1} \frac{x}{\left(x + 3\right) \left(x - 2\right)}\, dx$$
Integral(x/(((x - 1*2)*(x + 3))), (x, 0, 1))
The answer (Indefinite)
[src]
/ | | x 2*log(-2 + x) 3*log(3 + x) | --------------- dx = C + ------------- + ------------ | (x - 2)*(x + 3) 5 5 | /
$${{3\,\log \left(x+3\right)}\over{5}}+{{2\,\log \left(x-2\right)
}\over{5}}$$
The graph
The answer
[src]
3*log(3) 2*log(2) 3*log(4)
- -------- - -------- + --------
5 5 5
$${{3\,\log 4}\over{5}}-{{3\,\log 3}\over{5}}-{{2\,\log 2}\over{5}}$$
=
=
3*log(3) 2*log(2) 3*log(4)
- -------- - -------- + --------
5 5 5
$$- \frac{3 \log{\left(3 \right)}}{5} - \frac{2 \log{\left(2 \right)}}{5} + \frac{3 \log{\left(4 \right)}}{5}$$
The graph
Use the examples entering the upper and lower limits of integration.