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*x
-
Integral of e^(x*(-3))
-
Integral of sin²xcos²x
-
Integral of (x+2)dx
-
Identical expressions
- (exp^(one /x)- one)/((ln(x+ seven))^ two)
- ( exponent of to the power of (1 divide by x) minus 1) divide by ((ln(x plus 7)) squared )
- ( exponent of to the power of (one divide by x) minus one) divide by ((ln(x plus seven)) to the power of two)
- (exp(1/x)-1)/((ln(x+7))2)
- exp1/x-1/lnx+72
- (exp^(1/x)-1)/((ln(x+7))²)
- (exp to the power of (1/x)-1)/((ln(x+7)) to the power of 2)
- exp^1/x-1/lnx+7^2
- (exp^(1 divide by x)-1) divide by ((ln(x+7))^2)
- (exp^(1/x)-1)/((ln(x+7))^2)dx
-
Similar expressions
- (exp^(1/x)-1)/((ln(x-7))^2)
- (exp^(1/x)+1)/((ln(x+7))^2)
Integral of (exp^(1/x)-1)/((ln(x+7))^2) dx
The solution
You have entered
[src]
oo / | | x ___ | \/ E - 1 | ----------- dx | 2 | log (x + 7) | / 2
$$\int\limits_{2}^{\infty} \frac{e^{\frac{1}{x}} - 1}{\log{\left(x + 7 \right)}^{2}}\, dx$$
Integral((E^(1/x) - 1)/log(x + 7)^2, (x, 2, oo))
The answer (Indefinite)
[src]
/
|
/ | 1
| | -
| x ___ | x
| \/ E - 1 expint(2, -log(x + 7)) | e
| ----------- dx = C + ---------------------- + | ----------- dx
| 2 log(x + 7) | 2
| log (x + 7) | log (7 + x)
| |
/ /
$$\int \frac{e^{\frac{1}{x}} - 1}{\log{\left(x + 7 \right)}^{2}}\, dx = C + \int \frac{e^{\frac{1}{x}}}{\log{\left(x + 7 \right)}^{2}}\, dx + \frac{\operatorname{E}_{2}\left(- \log{\left(x + 7 \right)}\right)}{\log{\left(x + 7 \right)}}$$
Use the examples entering the upper and lower limits of integration.