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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of e^(2*x+1)
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Integral of e^x²
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Integral of (-x)/(1+x^2)
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Integral of sqrt(x^2+4)/x^2
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Identical expressions
- x\√(x^ two +4x+ five)
- x\√(x squared plus 4x plus 5)
- x\√(x to the power of two plus 4x plus five)
- x\√(x2+4x+5)
- x\√x2+4x+5
- x\√(x²+4x+5)
- x\√(x to the power of 2+4x+5)
- x\√x^2+4x+5
- x\√(x^2+4x+5)dx
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Similar expressions
- x\√(x^2-4x+5)
- x\√(x^2+4x-5)
Integral of x\√(x^2+4x+5) dx
The solution
You have entered
[src]
1 / | | x | ----------------- dx | ______________ | / 2 | \/ x + 4*x + 5 | / 0
$$\int\limits_{0}^{1} \frac{x}{\sqrt{\left(x^{2} + 4 x\right) + 5}}\, dx$$
Integral(x/sqrt(x^2 + 4*x + 5), (x, 0, 1))
The answer (Indefinite)
[src]
/ / | | | x | x | ----------------- dx = C + | ----------------- dx | ______________ | ______________ | / 2 | / 2 | \/ x + 4*x + 5 | \/ 5 + x + 4*x | | / /
$$\int \frac{x}{\sqrt{\left(x^{2} + 4 x\right) + 5}}\, dx = C + \int \frac{x}{\sqrt{x^{2} + 4 x + 5}}\, dx$$
The answer
[src]
1 / | | x | ----------------- dx | ______________ | / 2 | \/ 5 + x + 4*x | / 0
$$\int\limits_{0}^{1} \frac{x}{\sqrt{x^{2} + 4 x + 5}}\, dx$$
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1 / | | x | ----------------- dx | ______________ | / 2 | \/ 5 + x + 4*x | / 0
$$\int\limits_{0}^{1} \frac{x}{\sqrt{x^{2} + 4 x + 5}}\, dx$$
Integral(x/sqrt(5 + x^2 + 4*x), (x, 0, 1))
Use the examples entering the upper and lower limits of integration.