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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of 1/sqrt(1+u^2)
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Integral of (2x+3)
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Integral of 1-7*x^2
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Integral of (x-1)/x^3
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Identical expressions
- one /((x+ four)*sqrt(x))
- 1 divide by ((x plus 4) multiply by square root of (x))
- one divide by ((x plus four) multiply by square root of (x))
- 1/((x+4)*√(x))
- 1/((x+4)sqrt(x))
- 1/x+4sqrtx
- 1 divide by ((x+4)*sqrt(x))
- 1/((x+4)*sqrt(x))dx
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Similar expressions
- 1/(x+4sqrt(x))
- 1/((x-4)*sqrt(x))
Integral of 1/((x+4)*sqrt(x)) dx
The solution
You have entered
[src]
1 / | | 1 | ------------- dx | ___ | (x + 4)*\/ x | / 0
$$\int\limits_{0}^{1} \frac{1}{\sqrt{x} \left(x + 4\right)}\, dx$$
Integral(1/((x + 4)*sqrt(x)), (x, 0, 1))
The answer (Indefinite)
[src]
/ | / ___\ | 1 |\/ x | | ------------- dx = C + atan|-----| | ___ \ 2 / | (x + 4)*\/ x | /
$$\int \frac{1}{\sqrt{x} \left(x + 4\right)}\, dx = C + \operatorname{atan}{\left(\frac{\sqrt{x}}{2} \right)}$$
The graph
The answer
[src]
atan(1/2)
$$\operatorname{atan}{\left(\frac{1}{2} \right)}$$
=
=
atan(1/2)
$$\operatorname{atan}{\left(\frac{1}{2} \right)}$$
atan(1/2)
Use the examples entering the upper and lower limits of integration.