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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of x5
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Integral of ×
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Integral of (4x)/(1+x^2)
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Integral of (2-x^4)/(1+x^2)
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Identical expressions
- ((3x+ two)^ five)^(one / two)
- ((3x plus 2) to the power of 5) to the power of (1 divide by 2)
- ((3x plus two) to the power of five) to the power of (one divide by two)
- ((3x+2)5)(1/2)
- 3x+251/2
- ((3x+2)⁵)^(1/2)
- 3x+2^5^1/2
- ((3x+2)^5)^(1 divide by 2)
- ((3x+2)^5)^(1/2)dx
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Similar expressions
- ((3x-2)^5)^(1/2)
Integral of ((3x+2)^5)^(1/2) dx
The solution
You have entered
[src]
1 / | | ____________ | / 5 | \/ (3*x + 2) dx | / 0
$$\int\limits_{0}^{1} \sqrt{\left(3 x + 2\right)^{5}}\, dx$$
Integral(sqrt((3*x + 2)^5), (x, 0, 1))
The answer
[src]
___ ___
16*\/ 2 250*\/ 5
- -------- + ---------
21 21
$$- \frac{16 \sqrt{2}}{21} + \frac{250 \sqrt{5}}{21}$$
=
=
___ ___
16*\/ 2 250*\/ 5
- -------- + ---------
21 21
$$- \frac{16 \sqrt{2}}{21} + \frac{250 \sqrt{5}}{21}$$
-16*sqrt(2)/21 + 250*sqrt(5)/21
Use the examples entering the upper and lower limits of integration.