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- Improper integral
- Double Integral
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How to use it?
- Integral of d{x}:
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Integral of sin(x²)
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Integral of (1-4x^2)^(1/2)
- Integral of x(1-cos(2/x^2))
- Integral of tx
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Identical expressions
- (x- one)/((x- three)*(x- four))
- (x minus 1) divide by ((x minus 3) multiply by (x minus 4))
- (x minus one) divide by ((x minus three) multiply by (x minus four))
- (x-1)/((x-3)(x-4))
- x-1/x-3x-4
- (x-1) divide by ((x-3)*(x-4))
- (x-1)/((x-3)*(x-4))dx
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Similar expressions
- (x-1)/((x+3)*(x-4))
- (x-1)/((x-3)*(x+4))
- (x+1)/((x-3)*(x-4))
Integral of (x-1)/((x-3)*(x-4)) dx
The solution
You have entered
[src]
1 / | | x - 1 | --------------- dx | (x - 3)*(x - 4) | / 0
$$\int\limits_{0}^{1} \frac{x - 1}{\left(x - 4\right) \left(x - 3\right)}\, dx$$
Integral((x - 1)/(((x - 3)*(x - 4))), (x, 0, 1))
The answer (Indefinite)
[src]
/ | | x - 1 | --------------- dx = C - 2*log(-3 + x) + 3*log(-4 + x) | (x - 3)*(x - 4) | /
$$\int \frac{x - 1}{\left(x - 4\right) \left(x - 3\right)}\, dx = C + 3 \log{\left(x - 4 \right)} - 2 \log{\left(x - 3 \right)}$$
The graph
The answer
[src]
-3*log(4) - 2*log(2) + 5*log(3)
$$- 3 \log{\left(4 \right)} - 2 \log{\left(2 \right)} + 5 \log{\left(3 \right)}$$
=
=
-3*log(4) - 2*log(2) + 5*log(3)
$$- 3 \log{\left(4 \right)} - 2 \log{\left(2 \right)} + 5 \log{\left(3 \right)}$$
-3*log(4) - 2*log(2) + 5*log(3)
Use the examples entering the upper and lower limits of integration.