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)^2dx
-
Integral of cos(x)*cos(x)
-
Integral of atan(x)/(1+x^2)
-
Integral of 8/x^2
-
Identical expressions
- (one -sqrt(x))/(x-2sqrt(x))
- (1 minus square root of (x)) divide by (x minus 2 square root of (x))
- (one minus square root of (x)) divide by (x minus 2 square root of (x))
- (1-√(x))/(x-2√(x))
- 1-sqrtx/x-2sqrtx
- (1-sqrt(x)) divide by (x-2sqrt(x))
- (1-sqrt(x))/(x-2sqrt(x))dx
-
Similar expressions
- (1-sqrt(x))/(x+2sqrt(x))
- (1+sqrt(x))/(x-2sqrt(x))
Integral of (1-sqrt(x))/(x-2sqrt(x)) dx
The solution
You have entered
[src]
1 / | | ___ | 1 - \/ x | ----------- dx | ___ | x - 2*\/ x | / 0
$$\int\limits_{0}^{1} \frac{1 - \sqrt{x}}{- 2 \sqrt{x} + x}\, dx$$
Integral((1 - sqrt(x))/(x - 2*sqrt(x)), (x, 0, 1))
The answer (Indefinite)
[src]
/ | | ___ | 1 - \/ x ___ / ___\ | ----------- dx = 4 + C - 2*\/ x - 2*log\4 - 2*\/ x / | ___ | x - 2*\/ x | /
$$\int \frac{1 - \sqrt{x}}{- 2 \sqrt{x} + x}\, dx = C - 2 \sqrt{x} - 2 \log{\left(4 - 2 \sqrt{x} \right)} + 4$$
The graph
The answer
[src]
-2 + 2*log(2)
$$-2 + 2 \log{\left(2 \right)}$$
=
=
-2 + 2*log(2)
$$-2 + 2 \log{\left(2 \right)}$$
-2 + 2*log(2)
Use the examples entering the upper and lower limits of integration.