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 √(1+sinx)
-
Integral of x^2dx
-
Integral of sin²(x)
-
Integral of sec^2
- How do you in partial fractions?:
- 1/(x^3+2x^2+x)
-
Identical expressions
- one /(x^ three + two x^2+x)
- 1 divide by (x cubed plus 2x squared plus x)
- one divide by (x to the power of three plus two x squared plus x)
- 1/(x3+2x2+x)
- 1/x3+2x2+x
- 1/(x³+2x²+x)
- 1/(x to the power of 3+2x to the power of 2+x)
- 1/x^3+2x^2+x
- 1 divide by (x^3+2x^2+x)
- 1/(x^3+2x^2+x)dx
-
Similar expressions
- 1/(x^3+2x^2-x)
- 1/(x^3-2x^2+x)
Integral of 1/(x^3+2x^2+x) dx
The solution
You have entered
[src]
1 / | | 1 | 1*------------- dx | 3 2 | x + 2*x + x | / 0
$$\int\limits_{0}^{1} 1 \cdot \frac{1}{x^{3} + 2 x^{2} + x}\, dx$$
Integral(1/(x^3 + 2*x^2 + x), (x, 0, 1))
The answer (Indefinite)
[src]
/ | | 1 1 | 1*------------- dx = C + ----- - log(1 + x) + log(x) | 3 2 1 + x | x + 2*x + x | /
$$\int 1 \cdot \frac{1}{x^{3} + 2 x^{2} + x}\, dx = C + \log{\left(x \right)} - \log{\left(x + 1 \right)} + \frac{1}{x + 1}$$
Use the examples entering the upper and lower limits of integration.