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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of cosx²
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Integral of x/(sqrt(3x^2+5))
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Integral of sinxcos²xdx
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Integral of sin^7(x)*cos^2(x)
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Identical expressions
- x/(sqrt(3x^ two + five))
- x divide by ( square root of (3x squared plus 5))
- x divide by ( square root of (3x to the power of two plus five))
- x/(√(3x^2+5))
- x/(sqrt(3x2+5))
- x/sqrt3x2+5
- x/(sqrt(3x²+5))
- x/(sqrt(3x to the power of 2+5))
- x/sqrt3x^2+5
- x divide by (sqrt(3x^2+5))
- x/(sqrt(3x^2+5))dx
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Similar expressions
- x/(sqrt(3x^2-5))
Integral of x/(sqrt(3x^2+5)) dx
The solution
You have entered
[src]
1 / | | x | ------------- dx | __________ | / 2 | \/ 3*x + 5 | / 0
$$\int\limits_{0}^{1} \frac{x}{\sqrt{3 x^{2} + 5}}\, dx$$
The answer (Indefinite)
[src]
/ __________ | / 2 | x \/ 5 + 3*x | ------------- dx = C + ------------- | __________ 3 | / 2 | \/ 3*x + 5 | /
$${{\sqrt{3\,x^2+5}}\over{3}}$$
The graph
The answer
[src]
___ ___
\/ 5 2*\/ 2
- ----- + -------
3 3
$${{2^{{{3}\over{2}}}}\over{3}}-{{\sqrt{5}}\over{3}}$$
=
=
___ ___
\/ 5 2*\/ 2
- ----- + -------
3 3
$$- \frac{\sqrt{5}}{3} + \frac{2 \sqrt{2}}{3}$$
The graph
Use the examples entering the upper and lower limits of integration.