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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^5*dx
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Integral of xsin(x+2)
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Integral of 1/(2+cosx)^2
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Integral of (1+x^4)^(1/2)
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Identical expressions
- (6x+ three)/((x+ one)(x- four))
- (6x plus 3) divide by ((x plus 1)(x minus 4))
- (6x plus three) divide by ((x plus one)(x minus four))
- 6x+3/x+1x-4
- (6x+3) divide by ((x+1)(x-4))
- (6x+3)/((x+1)(x-4))dx
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Similar expressions
- (6x+3)/((x+1)(x+4))
- (6x+3)/((x-1)(x-4))
- (6x-3)/((x+1)(x-4))
Integral of (6x+3)/((x+1)(x-4)) dx
The solution
You have entered
[src]
1 / | | 6*x + 3 | --------------- dx | (x + 1)*(x - 4) | / 0
$$\int\limits_{0}^{1} \frac{6 x + 3}{\left(x - 4\right) \left(x + 1\right)}\, dx$$
Integral((6*x + 3)/(((x + 1)*(x - 4))), (x, 0, 1))
The answer (Indefinite)
[src]
/ | | 6*x + 3 3*log(1 + x) 27*log(-4 + x) | --------------- dx = C + ------------ + -------------- | (x + 1)*(x - 4) 5 5 | /
$$\int \frac{6 x + 3}{\left(x - 4\right) \left(x + 1\right)}\, dx = C + \frac{27 \log{\left(x - 4 \right)}}{5} + \frac{3 \log{\left(x + 1 \right)}}{5}$$
The graph
The answer
[src]
27*log(4) 3*log(2) 27*log(3)
- --------- + -------- + ---------
5 5 5
$$- \frac{27 \log{\left(4 \right)}}{5} + \frac{3 \log{\left(2 \right)}}{5} + \frac{27 \log{\left(3 \right)}}{5}$$
=
=
27*log(4) 3*log(2) 27*log(3)
- --------- + -------- + ---------
5 5 5
$$- \frac{27 \log{\left(4 \right)}}{5} + \frac{3 \log{\left(2 \right)}}{5} + \frac{27 \log{\left(3 \right)}}{5}$$
-27*log(4)/5 + 3*log(2)/5 + 27*log(3)/5
Use the examples entering the upper and lower limits of integration.