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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^3*ln(x)
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Integral of (1-cosx)/(1+cosx)
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Integral of x*dx/(x^2+1)
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Integral of z
- Graphing y =:
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sqrt(x)/(x+100)
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Identical expressions
- sqrt(x)/(x+ one hundred)
- square root of (x) divide by (x plus 100)
- square root of (x) divide by (x plus one hundred)
- √(x)/(x+100)
- sqrtx/x+100
- sqrt(x) divide by (x+100)
- sqrt(x)/(x+100)dx
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Similar expressions
- sqrt(x)/(x-100)
Integral of sqrt(x)/(x+100) dx
The solution
You have entered
[src]
1 / | | ___ | \/ x | ------- dx | x + 100 | / 0
$$\int\limits_{0}^{1} \frac{\sqrt{x}}{x + 100}\, dx$$
Integral(sqrt(x)/(x + 100), (x, 0, 1))
The answer (Indefinite)
[src]
/ | | ___ / ___\ | \/ x |\/ x | ___ | ------- dx = C - 20*atan|-----| + 2*\/ x | x + 100 \ 10 / | /
$$\int \frac{\sqrt{x}}{x + 100}\, dx = C + 2 \sqrt{x} - 20 \operatorname{atan}{\left(\frac{\sqrt{x}}{10} \right)}$$
The graph
The answer
[src]
2 - 20*atan(1/10)
$$2 - 20 \operatorname{atan}{\left(\frac{1}{10} \right)}$$
=
=
2 - 20*atan(1/10)
$$2 - 20 \operatorname{atan}{\left(\frac{1}{10} \right)}$$
2 - 20*atan(1/10)
Use the examples entering the upper and lower limits of integration.