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- Improper integral
- Double Integral
- Triple Integral
- Curvilinear integral
- Derivative Step by Step
- Differential equations Step by Step
- Limits Step by Step
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How to use it?
- Integral of d{x}:
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Integral of x*cos(x)
- Integral of 1/y
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Integral of x^1/3
- Integral of (log(x))/x
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Identical expressions
- sqrt(x)(one +sqrt(x))
- square root of (x)(1 plus square root of (x))
- square root of (x)(one plus square root of (x))
- √(x)(1+√(x))
- sqrtx1+sqrtx
- sqrt(x)(1+sqrt(x))dx
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Similar expressions
- (x-sqrt(x))*(1+sqrt(x))/x^(3/2)
- sqrtx*(1+sqrtx)
- sqrt(x)(1-sqrt(x))
Integral of sqrt(x)(1+sqrt(x)) dx
The solution
You have entered
[src]
1 / | | ___ / ___\ | \/ x *\1 + \/ x / dx | / 0
$$\int\limits_{0}^{1} \sqrt{x} \left(\sqrt{x} + 1\right)\, dx$$
The answer (Indefinite)
[src]
/ | 2 3/2 | ___ / ___\ x 2*x | \/ x *\1 + \/ x / dx = C + -- + ------ | 2 3 /
$${{\left(\sqrt{x}+1\right)^4}\over{2}}-{{4\,\left(\sqrt{x}+1\right)^
3}\over{3}}+\left(\sqrt{x}+1\right)^2$$
The graph
The graph
Use the examples entering the upper and lower limits of integration.