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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of 1/(2+x^2)
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Integral of x*sin2x
- Integral of x/(x^3-3x+2)
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Integral of -x+4
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Identical expressions
- (2x- one)/((x+ three)(x+ one))
- (2x minus 1) divide by ((x plus 3)(x plus 1))
- (2x minus one) divide by ((x plus three)(x plus one))
- 2x-1/x+3x+1
- (2x-1) divide by ((x+3)(x+1))
- (2x-1)/((x+3)(x+1))dx
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Similar expressions
- (2x-1)/((x+3)(x-1))
- (2x-1)/((x-3)(x+1))
- (2x+1)/((x+3)(x+1))
Integral of (2x-1)/((x+3)(x+1)) dx
The solution
You have entered
[src]
-oo / | | 2*x - 1 | --------------- dx | (x + 3)*(x + 1) | / oo
$$\int\limits_{\infty}^{-\infty} \frac{2 x - 1}{\left(x + 1\right) \left(x + 3\right)}\, dx$$
Integral((2*x - 1)/(((x + 3)*(x + 1))), (x, oo, -oo))
The answer (Indefinite)
[src]
/ | | 2*x - 1 3*log(1 + x) 7*log(3 + x) | --------------- dx = C - ------------ + ------------ | (x + 3)*(x + 1) 2 2 | /
$$\int \frac{2 x - 1}{\left(x + 1\right) \left(x + 3\right)}\, dx = C - \frac{3 \log{\left(x + 1 \right)}}{2} + \frac{7 \log{\left(x + 3 \right)}}{2}$$
The graph
Use the examples entering the upper and lower limits of integration.