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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*exp(-4*x)
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Integral of 2*x/(1+x)
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Integral of (x*x)*exp(-x/2)
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Integral of x(1+x)^1/2
- Graphing y =:
- sqrt(x^2+3)
- Derivative of:
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sqrt(x^2+3)
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Identical expressions
- sqrt(x^ two + three)
- square root of (x squared plus 3)
- square root of (x to the power of two plus three)
- √(x^2+3)
- sqrt(x2+3)
- sqrtx2+3
- sqrt(x²+3)
- sqrt(x to the power of 2+3)
- sqrtx^2+3
- sqrt(x^2+3)dx
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Similar expressions
- sqrt(x^2-3)
Integral of sqrt(x^2+3) dx
The solution
You have entered
[src]
1 / | | ________ | / 2 | \/ x + 3 dx | / 0
$$\int\limits_{0}^{1} \sqrt{x^{2} + 3}\, dx$$
Integral(sqrt(x^2 + 3), (x, 0, 1))
The answer (Indefinite)
[src]
/ / ___\ | |x*\/ 3 | ________ | ________ 3*asinh|-------| / 2 | / 2 \ 3 / x*\/ 3 + x | \/ x + 3 dx = C + ---------------- + ------------- | 2 2 /
$$\int \sqrt{x^{2} + 3}\, dx = C + \frac{x \sqrt{x^{2} + 3}}{2} + \frac{3 \operatorname{asinh}{\left(\frac{\sqrt{3} x}{3} \right)}}{2}$$
The graph
The answer
[src]
/ ___\
|\/ 3 |
3*asinh|-----|
\ 3 /
1 + --------------
2
$$\frac{3 \operatorname{asinh}{\left(\frac{\sqrt{3}}{3} \right)}}{2} + 1$$
=
=
/ ___\
|\/ 3 |
3*asinh|-----|
\ 3 /
1 + --------------
2
$$\frac{3 \operatorname{asinh}{\left(\frac{\sqrt{3}}{3} \right)}}{2} + 1$$
1 + 3*asinh(sqrt(3)/3)/2
The graph
Use the examples entering the upper and lower limits of integration.