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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of x/(sinx^2)^2
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Integral of (sqrt(x)-2)^2/x
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Integral of (sin(3x))^5
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Integral of e^xsin(x/2)
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Identical expressions
- one /sqrt(two x^2-x+ three)
- 1 divide by square root of (2x squared minus x plus 3)
- one divide by square root of (two x squared minus x plus three)
- 1/√(2x^2-x+3)
- 1/sqrt(2x2-x+3)
- 1/sqrt2x2-x+3
- 1/sqrt(2x²-x+3)
- 1/sqrt(2x to the power of 2-x+3)
- 1/sqrt2x^2-x+3
- 1 divide by sqrt(2x^2-x+3)
- 1/sqrt(2x^2-x+3)dx
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Similar expressions
- 1/sqrt(2x^2+x+3)
- 1/sqrt(2x^2-x-3)
Integral of 1/sqrt(2x^2-x+3) dx
The solution
You have entered
[src]
1 / | | 1 | 1*----------------- dx | ______________ | / 2 | \/ 2*x - x + 3 | / 0
$$\int\limits_{0}^{1} 1 \cdot \frac{1}{\sqrt{2 x^{2} - x + 3}}\, dx$$
Integral(1/sqrt(2*x^2 - x + 3), (x, 0, 1))
The answer (Indefinite)
[src]
$${{{\rm asinh}\; \left({{4\,x-1}\over{\sqrt{23}}}\right)}\over{
\sqrt{2}}}$$
The graph
The answer
[src]
/ ____\ / ____\
___ |\/ 23 | ___ |3*\/ 23 |
\/ 2 *asinh|------| \/ 2 *asinh|--------|
\ 23 / \ 23 /
------------------- + ---------------------
2 2
$${{{\rm asinh}\; \left({{3}\over{\sqrt{23}}}\right)}\over{\sqrt{2}}}
+{{{\rm asinh}\; \left({{1}\over{\sqrt{23}}}\right)}\over{\sqrt{2}}}$$
=
=
/ ____\ / ____\
___ |\/ 23 | ___ |3*\/ 23 |
\/ 2 *asinh|------| \/ 2 *asinh|--------|
\ 23 / \ 23 /
------------------- + ---------------------
2 2
$$\frac{\sqrt{2} \operatorname{asinh}{\left(\frac{\sqrt{23}}{23} \right)}}{2} + \frac{\sqrt{2} \operatorname{asinh}{\left(\frac{3 \sqrt{23}}{23} \right)}}{2}$$
The graph
Use the examples entering the upper and lower limits of integration.