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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of dx/(1+x^2)
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Integral of 3x²
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Integral of (x+2)dx
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Integral of exp(y)
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Identical expressions
- x/(sqrt(x^ two -3x+ two))
- x divide by ( square root of (x squared minus 3x plus 2))
- x divide by ( square root of (x to the power of two minus 3x plus two))
- x/(√(x^2-3x+2))
- x/(sqrt(x2-3x+2))
- x/sqrtx2-3x+2
- x/(sqrt(x²-3x+2))
- x/(sqrt(x to the power of 2-3x+2))
- x/sqrtx^2-3x+2
- x divide by (sqrt(x^2-3x+2))
- x/(sqrt(x^2-3x+2))dx
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Similar expressions
- x/(sqrt(x^2+3x+2))
- x/(sqrt(x^2-3x-2))
Integral of x/(sqrt(x^2-3x+2)) dx
The solution
You have entered
[src]
1 / | | x | ----------------- dx | ______________ | / 2 | \/ x - 3*x + 2 | / 0
$$\int\limits_{0}^{1} \frac{x}{\sqrt{x^{2} - 3 x + 2}}\, dx$$
Integral(x/(sqrt(x^2 - 3*x + 2)), (x, 0, 1))
The answer (Indefinite)
[src]
/ / ______________\ | ______________ | / 2 | | x / 2 3*log\-3 + 2*x + 2*\/ 2 + x - 3*x / | ----------------- dx = C + \/ 2 + x - 3*x + ------------------------------------- | ______________ 2 | / 2 | \/ x - 3*x + 2 | /
$$\int \frac{x}{\sqrt{x^{2} - 3 x + 2}}\, dx = C + \sqrt{x^{2} - 3 x + 2} + \frac{3 \log{\left(2 x + 2 \sqrt{x^{2} - 3 x + 2} - 3 \right)}}{2}$$
The graph
The answer
[src]
/ ___\
___ 3*log\3 - 2*\/ 2 /
- \/ 2 - ------------------
2
$$- \sqrt{2} - \frac{3 \log{\left(3 - 2 \sqrt{2} \right)}}{2}$$
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/ ___\
___ 3*log\3 - 2*\/ 2 /
- \/ 2 - ------------------
2
$$- \sqrt{2} - \frac{3 \log{\left(3 - 2 \sqrt{2} \right)}}{2}$$
The graph
Use the examples entering the upper and lower limits of integration.