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 1/5x
-
Integral of xsin(x)cos(x)
-
Integral of 4x³dx
-
Integral of (1+2x^2)/(x^2(1+x^2))
-
Identical expressions
- one /(x^ two +4x- seven)
- 1 divide by (x squared plus 4x minus 7)
- one divide by (x to the power of two plus 4x minus seven)
- 1/(x2+4x-7)
- 1/x2+4x-7
- 1/(x²+4x-7)
- 1/(x to the power of 2+4x-7)
- 1/x^2+4x-7
- 1 divide by (x^2+4x-7)
- 1/(x^2+4x-7)dx
-
Similar expressions
- 1/(x^2+4x+7)
- 1/(x^2-4x-7)
Integral of 1/(x^2+4x-7) dx
The solution
You have entered
[src]
oo / | | 1 | ------------ dx | 2 | x + 4*x - 7 | / 2
$$\int\limits_{2}^{\infty} \frac{1}{\left(x^{2} + 4 x\right) - 7}\, dx$$
Integral(1/(x^2 + 4*x - 7), (x, 2, oo))
The graph
The answer
[src]
____ / ____\ ____ / ____\
\/ 11 *log\4 - \/ 11 / \/ 11 *log\4 + \/ 11 /
- ---------------------- + ----------------------
22 22
$$- \frac{\sqrt{11} \log{\left(4 - \sqrt{11} \right)}}{22} + \frac{\sqrt{11} \log{\left(\sqrt{11} + 4 \right)}}{22}$$
=
=
____ / ____\ ____ / ____\
\/ 11 *log\4 - \/ 11 / \/ 11 *log\4 + \/ 11 /
- ---------------------- + ----------------------
22 22
$$- \frac{\sqrt{11} \log{\left(4 - \sqrt{11} \right)}}{22} + \frac{\sqrt{11} \log{\left(\sqrt{11} + 4 \right)}}{22}$$
-sqrt(11)*log(4 - sqrt(11))/22 + sqrt(11)*log(4 + sqrt(11))/22
Use the examples entering the upper and lower limits of integration.