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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^x/x^2
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Integral of sin(x)^2*cos(x)^4
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Integral of x*ln(x+1)dx
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Integral of 1/(2-x)
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Identical expressions
- (two x- three)/(sqrtx^2+4x)
- (2x minus 3) divide by ( square root of x squared plus 4x)
- (two x minus three) divide by ( square root of x squared plus 4x)
- (2x-3)/(√x^2+4x)
- (2x-3)/(sqrtx2+4x)
- 2x-3/sqrtx2+4x
- (2x-3)/(sqrtx²+4x)
- (2x-3)/(sqrtx to the power of 2+4x)
- 2x-3/sqrtx^2+4x
- (2x-3) divide by (sqrtx^2+4x)
- (2x-3)/(sqrtx^2+4x)dx
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Similar expressions
- (2x+3)/(sqrtx^2+4x)
- (2x-3)/(sqrtx^2-4x)
Integral of (2x-3)/(sqrtx^2+4x) dx
The solution
You have entered
[src]
1 / | | 2*x - 3 | ------------ dx | 2 | ___ | \/ x + 4*x | / 0
$$\int\limits_{0}^{1} \frac{2 x - 3}{\left(\sqrt{x}\right)^{2} + 4 x}\, dx$$
Integral((2*x - 1*3)/((sqrt(x))^2 + 4*x), (x, 0, 1))
The answer (Indefinite)
[src]
/ | | 2*x - 3 3*log(2*x) 2*x | ------------ dx = C - ---------- + --- | 2 5 5 | ___ | \/ x + 4*x | /
$$\int \frac{2 x - 3}{\left(\sqrt{x}\right)^{2} + 4 x}\, dx = C + \frac{2 x}{5} - \frac{3 \log{\left(2 x \right)}}{5}$$
Use the examples entering the upper and lower limits of integration.