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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of x^(1/3)
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Integral of sin(x)^4
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Integral of cos(x)^3
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Integral of (e^(x^2))
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Identical expressions
- sqrt(x^ two +2x- one)
- square root of (x squared plus 2x minus 1)
- square root of (x to the power of two plus 2x minus one)
- √(x^2+2x-1)
- sqrt(x2+2x-1)
- sqrtx2+2x-1
- sqrt(x²+2x-1)
- sqrt(x to the power of 2+2x-1)
- sqrtx^2+2x-1
- sqrt(x^2+2x-1)dx
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Similar expressions
- sqrt(x^2+2x+1)
- sqrt(x^2-2x-1)
Integral of sqrt(x^2+2x-1) dx
The solution
You have entered
[src]
1 / | | ______________ | / 2 | \/ x + 2*x - 1 dx | / 0
$$\int\limits_{0}^{1} \sqrt{\left(x^{2} + 2 x\right) - 1}\, dx$$
Integral(sqrt(x^2 + 2*x - 1), (x, 0, 1))
The answer
[src]
1 / | | _______________ | / 2 | \/ -1 + x + 2*x dx | / 0
$$\int\limits_{0}^{1} \sqrt{x^{2} + 2 x - 1}\, dx$$
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=
1 / | | _______________ | / 2 | \/ -1 + x + 2*x dx | / 0
$$\int\limits_{0}^{1} \sqrt{x^{2} + 2 x - 1}\, dx$$
Integral(sqrt(-1 + x^2 + 2*x), (x, 0, 1))
Numerical answer
[src]
(0.532778511325186 + 0.285012535302307j)
(0.532778511325186 + 0.285012535302307j)
Use the examples entering the upper and lower limits of integration.