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 x²
- Integral of sin
-
Integral of exp(-x^2)
-
Integral of x*exp(-x)
-
Identical expressions
- one /(x²-3x- ten)
- 1 divide by (x² minus 3x minus 10)
- one divide by (x² minus 3x minus ten)
- 1/x²-3x-10
- 1 divide by (x²-3x-10)
- 1/(x²-3x-10)dx
-
Similar expressions
- 1/(x²-3x+10)
- 1/(x²+3x-10)
Integral of 1/(x²-3x-10) dx
The solution
You have entered
[src]
1 / | | 1 | ------------- dx | 2 | x - 3*x - 10 | / 0
$$\int\limits_{0}^{1} \frac{1}{\left(x^{2} - 3 x\right) - 10}\, dx$$
Integral(1/(x^2 - 3*x - 10), (x, 0, 1))
The answer (Indefinite)
[src]
/ | | 1 log(4 + 2*x) log(-10 + 2*x) | ------------- dx = C - ------------ + -------------- | 2 7 7 | x - 3*x - 10 | /
$$\int \frac{1}{\left(x^{2} - 3 x\right) - 10}\, dx = C + \frac{\log{\left(2 x - 10 \right)}}{7} - \frac{\log{\left(2 x + 4 \right)}}{7}$$
The graph
The answer
[src]
log(3) log(5) log(2) log(4)
- ------ - ------ + ------ + ------
7 7 7 7
$$- \frac{\log{\left(5 \right)}}{7} - \frac{\log{\left(3 \right)}}{7} + \frac{\log{\left(2 \right)}}{7} + \frac{\log{\left(4 \right)}}{7}$$
=
=
log(3) log(5) log(2) log(4)
- ------ - ------ + ------ + ------
7 7 7 7
$$- \frac{\log{\left(5 \right)}}{7} - \frac{\log{\left(3 \right)}}{7} + \frac{\log{\left(2 \right)}}{7} + \frac{\log{\left(4 \right)}}{7}$$
-log(3)/7 - log(5)/7 + log(2)/7 + log(4)/7
Use the examples entering the upper and lower limits of integration.