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 x*2^x
-
Integral of x*sin(x/2)
-
Integral of x^4/(x^2+1)
- Integral of x^2*a^x
- Derivative of:
- (x^2+1)/(x^3+1)
- Graphing y =:
- (x^2+1)/(x^3+1)
-
Identical expressions
- (x^ two + one)/(x^ three + one)
- (x squared plus 1) divide by (x cubed plus 1)
- (x to the power of two plus one) divide by (x to the power of three plus one)
- (x2+1)/(x3+1)
- x2+1/x3+1
- (x²+1)/(x³+1)
- (x to the power of 2+1)/(x to the power of 3+1)
- x^2+1/x^3+1
- (x^2+1) divide by (x^3+1)
- (x^2+1)/(x^3+1)dx
-
Similar expressions
- (x^2+1)/(x^3-1)
- (x^2-1)/(x^3+1)
Integral of (x^2+1)/(x^3+1) dx
The solution
You have entered
[src]
oo / | | 2 | x + 1 | ------ dx | 3 | x + 1 | / 2
$$\int\limits_{2}^{\infty} \frac{x^{2} + 1}{x^{3} + 1}\, dx$$
Integral((x^2 + 1)/(x^3 + 1), (x, 2, oo))
The answer (Indefinite)
[src]
/ / ___ \ | ___ |2*\/ 3 *(-1/2 + x)| | 2 / 2 \ \/ 3 *atan|------------------| | x + 1 log\1 + x - x/ 2*log(1 + x) \ 3 / | ------ dx = C + --------------- + ------------ + ------------------------------ | 3 6 3 3 | x + 1 | /
$$\int \frac{x^{2} + 1}{x^{3} + 1}\, dx = C + \frac{2 \log{\left(x + 1 \right)}}{3} + \frac{\log{\left(x^{2} - x + 1 \right)}}{6} + \frac{\sqrt{3} \operatorname{atan}{\left(\frac{2 \sqrt{3} \left(x - \frac{1}{2}\right)}{3} \right)}}{3}$$
The graph
The graph
Use the examples entering the upper and lower limits of integration.