Mister Exam
Other calculators
- Improper integral
- Double Integral
- Triple Integral
- Curvilinear integral
- Derivative Step by Step
- Differential equations Step by Step
- Limits Step by Step
-
How to use it?
- Integral of d{x}:
-
Integral of y^(-2/3)
- Integral of x^(-x)
-
Integral of x*sin(x)^2
-
Integral of x^2/(1-x^4)
-
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
-
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.