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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^2/(1+x^3)
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Integral of √(1+x²)
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Integral of x^2/sqrt(4-x^2)
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Integral of a
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Identical expressions
- (9x- four)/((3x- one)^ two)
- (9x minus 4) divide by ((3x minus 1) squared )
- (9x minus four) divide by ((3x minus one) to the power of two)
- (9x-4)/((3x-1)2)
- 9x-4/3x-12
- (9x-4)/((3x-1)²)
- (9x-4)/((3x-1) to the power of 2)
- 9x-4/3x-1^2
- (9x-4) divide by ((3x-1)^2)
- (9x-4)/((3x-1)^2)dx
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Similar expressions
- (9x-4)/((3x+1)^2)
- (9x+4)/((3x-1)^2)
Integral of (9x-4)/((3x-1)^2) dx
The solution
You have entered
[src]
2 / | | 9*x - 4 | ---------- dx | 2 | (3*x - 1) | / 1
$$\int\limits_{1}^{2} \frac{9 x - 4}{\left(3 x - 1\right)^{2}}\, dx$$
Integral((9*x - 1*4)/((3*x - 1*1)^2), (x, 1, 2))
The answer (Indefinite)
[src]
/ | | 9*x - 4 1 | ---------- dx = C + ------------ + log(-1 + 3*x) | 2 3*(-1 + 3*x) | (3*x - 1) | /
$$\log \left(3\,x-1\right)+{{1}\over{9\,x-3}}$$
The graph
The answer
[src]
-1/10 - log(2) + log(5)
$$\log 5-\log 2-{{1}\over{10}}$$
=
=
-1/10 - log(2) + log(5)
$$- \log{\left(2 \right)} - \frac{1}{10} + \log{\left(5 \right)}$$
The graph
Use the examples entering the upper and lower limits of integration.