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- Improper integral
- Double Integral
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- Curvilinear integral
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How to use it?
- Integral of d{x}:
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Integral of 1/(e^(2*x))
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Integral of (x+8)/(x+2)
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Integral of (x+2)/(x+3)
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Integral of x^2*sin^2x
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Identical expressions
- sqrt(nine +x^ two)
- square root of (9 plus x squared )
- square root of (nine plus x to the power of two)
- √(9+x^2)
- sqrt(9+x2)
- sqrt9+x2
- sqrt(9+x²)
- sqrt(9+x to the power of 2)
- sqrt9+x^2
- sqrt(9+x^2)dx
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Similar expressions
- x/(sqrt(9+x^2))
- sqrt(9-x^2)
Integral of sqrt(9+x^2) dx
The solution
You have entered
[src]
4 / | | ________ | / 2 | \/ 9 + x dx | / 0
$$\int\limits_{0}^{4} \sqrt{x^{2} + 9}\, dx$$
Integral(sqrt(9 + x^2), (x, 0, 4))
The answer (Indefinite)
[src]
/ | /x\ ________ | ________ 9*asinh|-| / 2 | / 2 \3/ x*\/ 9 + x | \/ 9 + x dx = C + ---------- + ------------- | 2 2 /
$$\int \sqrt{x^{2} + 9}\, dx = C + \frac{x \sqrt{x^{2} + 9}}{2} + \frac{9 \operatorname{asinh}{\left(\frac{x}{3} \right)}}{2}$$
The graph
The answer
[src]
9*asinh(4/3)
10 + ------------
2
$$\frac{9 \operatorname{asinh}{\left(\frac{4}{3} \right)}}{2} + 10$$
=
=
9*asinh(4/3)
10 + ------------
2
$$\frac{9 \operatorname{asinh}{\left(\frac{4}{3} \right)}}{2} + 10$$
10 + 9*asinh(4/3)/2
Use the examples entering the upper and lower limits of integration.