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How to use it?
- Integral of d{x}:
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Integral of dx/(2*x^2+8*x+20)
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Integral of 2+x^2
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Integral of 1/(x-x^2)
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Integral of 1/(x(x^2+1))
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Identical expressions
- (two x- five)/((x^2-5x+ four)^ three)
- (2x minus 5) divide by ((x squared minus 5x plus 4) cubed )
- (two x minus five) divide by ((x squared minus 5x plus four) to the power of three)
- (2x-5)/((x2-5x+4)3)
- 2x-5/x2-5x+43
- (2x-5)/((x²-5x+4)³)
- (2x-5)/((x to the power of 2-5x+4) to the power of 3)
- 2x-5/x^2-5x+4^3
- (2x-5) divide by ((x^2-5x+4)^3)
- (2x-5)/((x^2-5x+4)^3)dx
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Similar expressions
- (2x-5)/((x^2-5x-4)^3)
- (2x-5)/((x^2+5x+4)^3)
- (2x+5)/((x^2-5x+4)^3)
Integral of (2x-5)/((x^2-5x+4)^3) dx
The solution
You have entered
[src]
1 / | | 2*x - 5 | --------------- dx | 3 | / 2 \ | \x - 5*x + 4/ | / 0
$$\int\limits_{0}^{1} \frac{2 x - 5}{\left(x^{2} - 5 x + 4\right)^{3}}\, dx$$
Integral((2*x - 1*5)/((x^2 - 5*x + 4)^3), (x, 0, 1))
The answer (Indefinite)
[src]
/ | | 2*x - 5 1 1 1 1 | --------------- dx = C - ------------ - ------------ - ----------- + ----------- | 3 2 2 27*(-1 + x) 27*(-4 + x) | / 2 \ 18*(-1 + x) 18*(-4 + x) | \x - 5*x + 4/ | /
$$\int \frac{2 x - 5}{\left(x^{2} - 5 x + 4\right)^{3}}\, dx = C - \frac{1}{27 \left(x - 1\right)} - \frac{1}{18 \left(x - 1\right)^{2}} + \frac{1}{27 \left(x - 4\right)} - \frac{1}{18 \left(x - 4\right)^{2}}$$
The graph
The graph
Use the examples entering the upper and lower limits of integration.