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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/(sinx^2)^2
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Integral of (sqrt(x)-2)^2/x
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Integral of (sin(3x))^5
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Integral of e^xsin(x/2)
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Identical expressions
- (x+ one)/((x- two)(x+ seven))
- (x plus 1) divide by ((x minus 2)(x plus 7))
- (x plus one) divide by ((x minus two)(x plus seven))
- x+1/x-2x+7
- (x+1) divide by ((x-2)(x+7))
- (x+1)/((x-2)(x+7))dx
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Similar expressions
- (x+1)/((x-2)(x-7))
- (x-1)/((x-2)(x+7))
- (x+1)/((x+2)(x+7))
Integral of (x+1)/((x-2)(x+7)) dx
The solution
You have entered
[src]
1 / | | x + 1 | --------------- dx | (x - 2)*(x + 7) | / 0
$$\int\limits_{0}^{1} \frac{x + 1}{\left(x - 2\right) \left(x + 7\right)}\, dx$$
Integral((x + 1)/(((x - 2)*(x + 7))), (x, 0, 1))
The answer (Indefinite)
[src]
/ | | x + 1 log(-2 + x) 2*log(7 + x) | --------------- dx = C + ----------- + ------------ | (x - 2)*(x + 7) 3 3 | /
$$\int \frac{x + 1}{\left(x - 2\right) \left(x + 7\right)}\, dx = C + \frac{\log{\left(x - 2 \right)}}{3} + \frac{2 \log{\left(x + 7 \right)}}{3}$$
The graph
The answer
[src]
2*log(7) log(2) 2*log(8)
- -------- - ------ + --------
3 3 3
$$- \frac{2 \log{\left(7 \right)}}{3} - \frac{\log{\left(2 \right)}}{3} + \frac{2 \log{\left(8 \right)}}{3}$$
=
=
2*log(7) log(2) 2*log(8)
- -------- - ------ + --------
3 3 3
$$- \frac{2 \log{\left(7 \right)}}{3} - \frac{\log{\left(2 \right)}}{3} + \frac{2 \log{\left(8 \right)}}{3}$$
-2*log(7)/3 - log(2)/3 + 2*log(8)/3
Use the examples entering the upper and lower limits of integration.