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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of cotx
- Integral of xlnxdx
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Integral of tan⁵x
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Integral of ln2x
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Identical expressions
- (x+ three)/((x- three)(x+ one))
- (x plus 3) divide by ((x minus 3)(x plus 1))
- (x plus three) divide by ((x minus three)(x plus one))
- x+3/x-3x+1
- (x+3) divide by ((x-3)(x+1))
- (x+3)/((x-3)(x+1))dx
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Similar expressions
- (x-3)/((x-3)(x+1))
- (x+3)/((x+3)(x+1))
- (x+3)/((x-3)(x-1))
Integral of (x+3)/((x-3)(x+1)) dx
The solution
You have entered
[src]
1 / | | x + 3 | --------------- dx | (x - 3)*(x + 1) | / 0
$$\int\limits_{0}^{1} \frac{x + 3}{\left(x - 3\right) \left(x + 1\right)}\, dx$$
Integral((x + 3)/(((x - 3)*(x + 1))), (x, 0, 1))
The answer (Indefinite)
[src]
/ | | x + 3 log(1 + x) 3*log(-3 + x) | --------------- dx = C - ---------- + ------------- | (x - 3)*(x + 1) 2 2 | /
$$\int \frac{x + 3}{\left(x - 3\right) \left(x + 1\right)}\, dx = C + \frac{3 \log{\left(x - 3 \right)}}{2} - \frac{\log{\left(x + 1 \right)}}{2}$$
The graph
The answer
[src]
3*log(3)
- -------- + log(2)
2
$$- \frac{3 \log{\left(3 \right)}}{2} + \log{\left(2 \right)}$$
=
=
3*log(3)
- -------- + log(2)
2
$$- \frac{3 \log{\left(3 \right)}}{2} + \log{\left(2 \right)}$$
-3*log(3)/2 + log(2)
The graph
Use the examples entering the upper and lower limits of integration.