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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}:
- Integral of x+y
- Integral of x/sin(x)
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Integral of atan(x)
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Integral of 1/(sqrt(1-x^2))
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Identical expressions
- one /(one +sqrt(two *x+))
- 1 divide by (1 plus square root of (2 multiply by x plus ))
- one divide by (one plus square root of (two multiply by x plus ))
- 1/(1+√(2*x+))
- 1/(1+sqrt(2x+))
- 1/1+sqrt2x+
- 1 divide by (1+sqrt(2*x+))
- 1/(1+sqrt(2*x+))dx
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Similar expressions
- 1/(1+sqrt(2x+1))
- 1/(1-sqrt(2*x+))
- 1/(1+sqrt(2*x-))
- 1/1+sqrt2x+1
Integral of 1/(1+sqrt(2*x+)) dx
The solution
You have entered
[src]
4 / | | 1 | ----------- dx | _____ | 1 + \/ 2*x | / 0
$$\int\limits_{0}^{4} \frac{1}{\sqrt{2 x} + 1}\, dx$$
Integral(1/(1 + sqrt(2*x)), (x, 0, 4))
The answer (Indefinite)
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/ | | 1 / ___ ___\ ___ ___ | ----------- dx = C - log\1 + \/ 2 *\/ x / + \/ 2 *\/ x | _____ | 1 + \/ 2*x | /
$$\int \frac{1}{\sqrt{2 x} + 1}\, dx = C + \sqrt{2} \sqrt{x} - \log{\left(\sqrt{2} \sqrt{x} + 1 \right)}$$
The graph
The answer
[src]
/ ___\ ___ - log\1 + 2*\/ 2 / + 2*\/ 2
$$- \log{\left(1 + 2 \sqrt{2} \right)} + 2 \sqrt{2}$$
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/ ___\ ___ - log\1 + 2*\/ 2 / + 2*\/ 2
$$- \log{\left(1 + 2 \sqrt{2} \right)} + 2 \sqrt{2}$$
-log(1 + 2*sqrt(2)) + 2*sqrt(2)
Use the examples entering the upper and lower limits of integration.