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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*cos(x/2)
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Integral of x*dx/(x^2-1)
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Integral of x^5/(x^2+1)
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Integral of x/(2*x+1)
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Identical expressions
- (x+ four)/((x+ three)(x- six))
- (x plus 4) divide by ((x plus 3)(x minus 6))
- (x plus four) divide by ((x plus three)(x minus six))
- x+4/x+3x-6
- (x+4) divide by ((x+3)(x-6))
- (x+4)/((x+3)(x-6))dx
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Similar expressions
- (x+4)/((x-3)(x-6))
- (x+4)/((x+3)(x+6))
- (x-4)/((x+3)(x-6))
Integral of (x+4)/((x+3)(x-6)) dx
The solution
You have entered
[src]
1 / | | x + 4 | --------------- dx | (x + 3)*(x - 6) | / 0
$$\int\limits_{0}^{1} \frac{x + 4}{\left(x - 6\right) \left(x + 3\right)}\, dx$$
Integral((x + 4)/(((x + 3)*(x - 6))), (x, 0, 1))
The answer (Indefinite)
[src]
/ | | x + 4 log(3 + x) 10*log(-6 + x) | --------------- dx = C - ---------- + -------------- | (x + 3)*(x - 6) 9 9 | /
$$\int \frac{x + 4}{\left(x - 6\right) \left(x + 3\right)}\, dx = C + \frac{10 \log{\left(x - 6 \right)}}{9} - \frac{\log{\left(x + 3 \right)}}{9}$$
The graph
The answer
[src]
10*log(6) log(4) log(3) 10*log(5)
- --------- - ------ + ------ + ---------
9 9 9 9
$$- \frac{10 \log{\left(6 \right)}}{9} - \frac{\log{\left(4 \right)}}{9} + \frac{\log{\left(3 \right)}}{9} + \frac{10 \log{\left(5 \right)}}{9}$$
=
=
10*log(6) log(4) log(3) 10*log(5)
- --------- - ------ + ------ + ---------
9 9 9 9
$$- \frac{10 \log{\left(6 \right)}}{9} - \frac{\log{\left(4 \right)}}{9} + \frac{\log{\left(3 \right)}}{9} + \frac{10 \log{\left(5 \right)}}{9}$$
-10*log(6)/9 - log(4)/9 + log(3)/9 + 10*log(5)/9
The graph
Use the examples entering the upper and lower limits of integration.