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^6
-
Integral of dx/sqrt(4-2x-x^2)
-
Integral of (3x+1)^5
- Integral of (sin(sqrt(x)+a)*e^sqrt(x))/sqrt(x)
-
Identical expressions
- dx/sqrt(four - two x-x^2)
- dx divide by square root of (4 minus 2x minus x squared )
- dx divide by square root of (four minus two x minus x squared )
- dx/√(4-2x-x^2)
- dx/sqrt(4-2x-x2)
- dx/sqrt4-2x-x2
- dx/sqrt(4-2x-x²)
- dx/sqrt(4-2x-x to the power of 2)
- dx/sqrt4-2x-x^2
- dx divide by sqrt(4-2x-x^2)
-
Similar expressions
- dx/sqrt(4+2x-x^2)
- dx/sqrt(4-2x+x^2)
Integral of dx/sqrt(4-2x-x^2) dx
The solution
You have entered
[src]
1 / | | 1 | 1*----------------- dx | ______________ | / 2 | \/ 4 - 2*x - x | / 0
$$\int\limits_{0}^{1} 1 \cdot \frac{1}{\sqrt{- x^{2} - 2 x + 4}}\, dx$$
The graph
The answer
[src]
/ ___\ / ___\
|\/ 5 | |2*\/ 5 |
- asin|-----| + asin|-------|
\ 5 / \ 5 /
$$\arcsin \left({{2}\over{\sqrt{5}}}\right)-\arcsin \left({{1}\over{
\sqrt{5}}}\right)$$
=
=
/ ___\ / ___\
|\/ 5 | |2*\/ 5 |
- asin|-----| + asin|-------|
\ 5 / \ 5 /
$$- \operatorname{asin}{\left(\frac{\sqrt{5}}{5} \right)} + \operatorname{asin}{\left(\frac{2 \sqrt{5}}{5} \right)}$$
The graph
Use the examples entering the upper and lower limits of integration.