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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of sin²xcos²x
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Integral of ex^2
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Integral of -e^x
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Integral of (1+2x^2)/(x^2(1+x^2))
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Identical expressions
- (4x+ three)/(x- two)^ two
- (4x plus 3) divide by (x minus 2) squared
- (4x plus three) divide by (x minus two) to the power of two
- (4x+3)/(x-2)2
- 4x+3/x-22
- (4x+3)/(x-2)²
- (4x+3)/(x-2) to the power of 2
- 4x+3/x-2^2
- (4x+3) divide by (x-2)^2
- (4x+3)/(x-2)^2dx
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Similar expressions
- (4x+3)/(x+2)^2
- (4x-3)/(x-2)^2
Integral of (4x+3)/(x-2)^2 dx
The solution
You have entered
[src]
1 / | | 4*x + 3 | -------- dx | 2 | (x - 2) | / 0
$$\int\limits_{0}^{1} \frac{4 x + 3}{\left(x - 2\right)^{2}}\, dx$$
Integral((4*x + 3)/(x - 2)^2, (x, 0, 1))
The answer (Indefinite)
[src]
/ | | 4*x + 3 11 | -------- dx = C - ------ + 4*log(-2 + x) | 2 -2 + x | (x - 2) | /
$$\int \frac{4 x + 3}{\left(x - 2\right)^{2}}\, dx = C + 4 \log{\left(x - 2 \right)} - \frac{11}{x - 2}$$
The graph
The answer
[src]
11/2 - 4*log(2)
$$\frac{11}{2} - 4 \log{\left(2 \right)}$$
=
=
11/2 - 4*log(2)
$$\frac{11}{2} - 4 \log{\left(2 \right)}$$
11/2 - 4*log(2)
The graph
Use the examples entering the upper and lower limits of integration.