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How to use it?
- Integral of d{x}:
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Integral of -exp(-3*x)
- Integral of (1-2*x)/x^2
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Integral of x/(x^3+8)
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Integral of x²+2x
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Identical expressions
- one /(x+sqrt(x^ five))
- 1 divide by (x plus square root of (x to the power of 5))
- one divide by (x plus square root of (x to the power of five))
- 1/(x+√(x^5))
- 1/(x+sqrt(x5))
- 1/x+sqrtx5
- 1/(x+sqrt(x⁵))
- 1/x+sqrtx^5
- 1 divide by (x+sqrt(x^5))
- 1/(x+sqrt(x^5))dx
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Similar expressions
- 1/(x-sqrt(x^5))
Integral of 1/(x+sqrt(x^5)) dx
The solution
You have entered
[src]
1 / | | 1 | ----------- dx | ____ | / 5 | x + \/ x | / 0
$$\int\limits_{0}^{1} \frac{1}{x + \sqrt{x^{5}}}\, dx$$
Integral(1/(x + sqrt(x^5)), (x, 0, 1))
The answer (Indefinite)
[src]
/ / ____\ | | / 5 | | 1 2*log\x + \/ x / 5*log(x) | ----------- dx = C - ------------------ + -------- | ____ 3 3 | / 5 | x + \/ x | /
$$\int \frac{1}{x + \sqrt{x^{5}}}\, dx = C + \frac{5 \log{\left(x \right)}}{3} - \frac{2 \log{\left(x + \sqrt{x^{5}} \right)}}{3}$$
The graph
Use the examples entering the upper and lower limits of integration.