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 3
-
Integral of s
-
Integral of 1/(x^3)
-
Integral of tan
-
Identical expressions
- (x+ five)/((x^ two - five *x+ six)(one + one))
- (x plus 5) divide by ((x squared minus 5 multiply by x plus 6)(1 plus 1))
- (x plus five) divide by ((x to the power of two minus five multiply by x plus six)(one plus one))
- (x+5)/((x2-5*x+6)(1+1))
- x+5/x2-5*x+61+1
- (x+5)/((x²-5*x+6)(1+1))
- (x+5)/((x to the power of 2-5*x+6)(1+1))
- (x+5)/((x^2-5x+6)(1+1))
- (x+5)/((x2-5x+6)(1+1))
- x+5/x2-5x+61+1
- x+5/x^2-5x+61+1
- (x+5) divide by ((x^2-5*x+6)(1+1))
- (x+5)/((x^2-5*x+6)(1+1))dx
-
Similar expressions
- (x+5)/((x^2+5*x+6)(1+1))
- (x+5)/((x^2-5*x-6)(1+1))
- (x+5)/((x^2-5*x+6)(1-1))
- (x-5)/((x^2-5*x+6)(1+1))
Integral of (x+5)/((x^2-5*x+6)(1+1)) dx
The solution
You have entered
[src]
1 / | | x + 5 | ---------------------- dx | / 2 \ | \x - 5*x + 6/*(1 + 1) | / 0
$$\int\limits_{0}^{1} \frac{x + 5}{\left(1 + 1\right) \left(x^{2} - 5 x + 6\right)}\, dx$$
Integral((x + 5)/(((x^2 - 5*x + 6)*(1 + 1))), (x, 0, 1))
The answer (Indefinite)
[src]
/ | | x + 5 7*log(-2 + x) | ---------------------- dx = C + 4*log(-3 + x) - ------------- | / 2 \ 2 | \x - 5*x + 6/*(1 + 1) | /
$${{8\,\log \left(x-3\right)-7\,\log \left(x-2\right)}\over{2}}$$
The graph
The answer
[src]
15*log(2)
-4*log(3) + ---------
2
$${{15\,\log 2-8\,\log 3}\over{2}}$$
=
=
15*log(2)
-4*log(3) + ---------
2
$$- 4 \log{\left(3 \right)} + \frac{15 \log{\left(2 \right)}}{2}$$
The graph
Use the examples entering the upper and lower limits of integration.