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- Improper integral
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How to use it?
- Integral of d{x}:
- Integral of x+y
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Integral of t
- Integral of x/sin(x)
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Integral of atan(x)
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Identical expressions
- dx/((x+ three)(sqrtx))
- dx divide by ((x plus 3)( square root of x))
- dx divide by ((x plus three)( square root of x))
- dx/((x+3)(√x))
- dx/x+3sqrtx
- dx divide by ((x+3)(sqrtx))
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Similar expressions
- dx/((x-3)(sqrtx))
Integral of dx/((x+3)(sqrtx)) dx
The solution
You have entered
[src]
oo / | | 1 | ------------- dx | ___ | (x + 3)*\/ x | / 1
$$\int\limits_{1}^{\infty} \frac{1}{\sqrt{x} \left(x + 3\right)}\, dx$$
Integral(1/((x + 3)*sqrt(x)), (x, 1, oo))
The answer (Indefinite)
[src]
/ ___ ___\ / ___ |\/ 3 *\/ x | | 2*\/ 3 *atan|-----------| | 1 \ 3 / | ------------- dx = C + ------------------------- | ___ 3 | (x + 3)*\/ x | /
$$\int \frac{1}{\sqrt{x} \left(x + 3\right)}\, dx = C + \frac{2 \sqrt{3} \operatorname{atan}{\left(\frac{\sqrt{3} \sqrt{x}}{3} \right)}}{3}$$
The graph
The answer
[src]
___
2*pi*\/ 3
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9
$$\frac{2 \sqrt{3} \pi}{9}$$
=
=
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2*pi*\/ 3
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9
$$\frac{2 \sqrt{3} \pi}{9}$$
2*pi*sqrt(3)/9
Use the examples entering the upper and lower limits of integration.