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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*2^(-x)
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Integral of ex^2
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Integral of (1/x^2)dx
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Integral of x*cos(x/2)
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Identical expressions
- x(x+ five)^ one / two
- x(x plus 5) to the power of 1 divide by 2
- x(x plus five) to the power of one divide by two
- x(x+5)1/2
- xx+51/2
- xx+5^1/2
- x(x+5)^1 divide by 2
- x(x+5)^1/2dx
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Similar expressions
- x(x-5)^1/2
Integral of x(x+5)^1/2 dx
The solution
You have entered
[src]
1 / | | _______ | x*\/ x + 5 dx | / 0
$$\int\limits_{0}^{1} x \sqrt{x + 5}\, dx$$
Integral(x*sqrt(x + 5), (x, 0, 1))
The answer (Indefinite)
[src]
/ | 3/2 5/2 | _______ 10*(5 + x) 2*(5 + x) | x*\/ x + 5 dx = C - ------------- + ------------ | 3 5 /
$$\int x \sqrt{x + 5}\, dx = C + \frac{2 \left(x + 5\right)^{\frac{5}{2}}}{5} - \frac{10 \left(x + 5\right)^{\frac{3}{2}}}{3}$$
The graph
The answer
[src]
___ ___
28*\/ 6 20*\/ 5
- -------- + --------
5 3
$$- \frac{28 \sqrt{6}}{5} + \frac{20 \sqrt{5}}{3}$$
=
=
___ ___
28*\/ 6 20*\/ 5
- -------- + --------
5 3
$$- \frac{28 \sqrt{6}}{5} + \frac{20 \sqrt{5}}{3}$$
-28*sqrt(6)/5 + 20*sqrt(5)/3
The graph
Use the examples entering the upper and lower limits of integration.