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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of e^(2*x)*cos(3*x)
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Integral of (2x-4)
- Integral of (3-sin(x))/(2cos(x)+3tan(x))
- Integral of (x)/(x^3-1)
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Identical expressions
- (5x+ three)/((x+ two)(x- three))
- (5x plus 3) divide by ((x plus 2)(x minus 3))
- (5x plus three) divide by ((x plus two)(x minus three))
- 5x+3/x+2x-3
- (5x+3) divide by ((x+2)(x-3))
- (5x+3)/((x+2)(x-3))dx
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Similar expressions
- (5x-3)/((x+2)(x-3))
- (5x+3)/((x+2)(x+3))
- (5x+3)/((x-2)(x-3))
Integral of (5x+3)/((x+2)(x-3)) dx
The solution
You have entered
[src]
1 / | | 5*x + 3 | --------------- dx | (x + 2)*(x - 3) | / 0
$$\int\limits_{0}^{1} \frac{5 x + 3}{\left(x - 3\right) \left(x + 2\right)}\, dx$$
Integral((5*x + 3)/(((x + 2)*(x - 3))), (x, 0, 1))
The answer (Indefinite)
[src]
/ | | 5*x + 3 7*log(2 + x) 18*log(-3 + x) | --------------- dx = C + ------------ + -------------- | (x + 2)*(x - 3) 5 5 | /
$$\int \frac{5 x + 3}{\left(x - 3\right) \left(x + 2\right)}\, dx = C + \frac{18 \log{\left(x - 3 \right)}}{5} + \frac{7 \log{\left(x + 2 \right)}}{5}$$
The graph
The answer
[src]
11*log(3) 11*log(2)
- --------- + ---------
5 5
$$- \frac{11 \log{\left(3 \right)}}{5} + \frac{11 \log{\left(2 \right)}}{5}$$
=
=
11*log(3) 11*log(2)
- --------- + ---------
5 5
$$- \frac{11 \log{\left(3 \right)}}{5} + \frac{11 \log{\left(2 \right)}}{5}$$
-11*log(3)/5 + 11*log(2)/5
Use the examples entering the upper and lower limits of integration.