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How to use it?
- Integral of d{x}:
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Integral of x/(raiz(2x-5))
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Integral of (x+1)/(x^2+2x-1)
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Integral of (x+1)/(2x²+3x-4)
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Integral of e^ydy
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Identical expressions
- (x+ one)/(2x²+3x- four)
- (x plus 1) divide by (2x² plus 3x minus 4)
- (x plus one) divide by (2x² plus 3x minus four)
- x+1/2x²+3x-4
- (x+1) divide by (2x²+3x-4)
- (x+1)/(2x²+3x-4)dx
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Similar expressions
- (x-1)/(2x²+3x-4)
- (x+1)/(2x²+3x+4)
- (x+1)/(2x²-3x-4)
Integral of (x+1)/(2x²+3x-4) dx
The solution
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[src]
1 / | | x + 1 | -------------- dx | 2 | 2*x + 3*x - 4 | / 0
$$\int\limits_{0}^{1} \frac{x + 1}{\left(2 x^{2} + 3 x\right) - 4}\, dx$$
Integral((x + 1)/(2*x^2 + 3*x - 4), (x, 0, 1))
The answer (Indefinite)
[src]
// / ____ \ \
|| ____ |4*\/ 41 *(3/4 + x)| |
||-\/ 41 *acoth|------------------| |
/ || \ 41 / 2 41|
| ||---------------------------------- for (3/4 + x) > --| / 2 \
| x + 1 || 164 16| log\-4 + 2*x + 3*x/
| -------------- dx = C + 2*|< | + --------------------
| 2 || / ____ \ | 4
| 2*x + 3*x - 4 || ____ |4*\/ 41 *(3/4 + x)| |
| ||-\/ 41 *atanh|------------------| |
/ || \ 41 / 2 41|
||---------------------------------- for (3/4 + x) < --|
\\ 164 16/
$$\int \frac{x + 1}{\left(2 x^{2} + 3 x\right) - 4}\, dx = C + 2 \left(\begin{cases} - \frac{\sqrt{41} \operatorname{acoth}{\left(\frac{4 \sqrt{41} \left(x + \frac{3}{4}\right)}{41} \right)}}{164} & \text{for}\: \left(x + \frac{3}{4}\right)^{2} > \frac{41}{16} \\- \frac{\sqrt{41} \operatorname{atanh}{\left(\frac{4 \sqrt{41} \left(x + \frac{3}{4}\right)}{41} \right)}}{164} & \text{for}\: \left(x + \frac{3}{4}\right)^{2} < \frac{41}{16} \end{cases}\right) + \frac{\log{\left(2 x^{2} + 3 x - 4 \right)}}{4}$$
The graph
The graph
Use the examples entering the upper and lower limits of integration.