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- Improper integral
- Double Integral
- Triple Integral
- Curvilinear integral
- Derivative Step by Step
- Differential equations Step by Step
- Limits Step by Step
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How to use it?
- Integral of d{x}:
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Integral of sin(x)*dx/x
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Integral of 1/sqrt(x^2+1)
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Integral of x^3*ln(x)
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Integral of x*ln(x+1)dx
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Identical expressions
- one /(3x- four *(x^ one / two))
- 1 divide by (3x minus 4 multiply by (x to the power of 1 divide by 2))
- one divide by (3x minus four multiply by (x to the power of one divide by two))
- 1/(3x-4*(x1/2))
- 1/3x-4*x1/2
- 1/(3x-4(x^1/2))
- 1/(3x-4(x1/2))
- 1/3x-4x1/2
- 1/3x-4x^1/2
- 1 divide by (3x-4*(x^1 divide by 2))
- 1/(3x-4*(x^1/2))dx
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Similar expressions
- 1/(3x+4*(x^1/2))
Integral of 1/(3x-4*(x^1/2)) dx
The solution
You have entered
[src]
1 / | | 1 | 1*------------- dx | ___ | 3*x - 4*\/ x | / 0
$$\int\limits_{0}^{1} 1 \cdot \frac{1}{- 4 \sqrt{x} + 3 x}\, dx$$
Integral(1/(3*x - 4*sqrt(x)), (x, 0, 1))
The answer (Indefinite)
[src]
/ | / ___\ / ___\ / ___ \ | 1 log\3*\/ x / log\-4 + 3*\/ x / log\- 4*\/ x + 3*x/ | 1*------------- dx = C - ------------ + ----------------- + -------------------- | ___ 3 3 3 | 3*x - 4*\/ x | /
$${{2\,\log \left(3\,\sqrt{x}-4\right)}\over{3}}$$
The graph
The answer
[src]
-2*log(4)
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3
$$-{{2\,\log 4}\over{3}}$$
=
=
-2*log(4)
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3
$$- \frac{2 \log{\left(4 \right)}}{3}$$
The graph
Use the examples entering the upper and lower limits of integration.