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How to use it?
- Integral of d{x}:
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Integral of (x^2+1)/((x^3+3x+1)^5)
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Integral of sqrt(x^2-9)/x
- Integral of ln(ln(x))/x
- Integral of sin(w*t)^2
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Identical expressions
- xx/(two x+ one)^2
- xx divide by (2x plus 1) squared
- xx divide by (two x plus one) squared
- xx/(2x+1)2
- xx/2x+12
- xx/(2x+1)²
- xx/(2x+1) to the power of 2
- xx/2x+1^2
- xx divide by (2x+1)^2
- xx/(2x+1)^2dx
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Similar expressions
- xx/(2x-1)^2
Integral of xx/(2x+1)^2 dx
The solution
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[src]
2 / | | x*x | ---------- dx | 2 | (2*x + 1) | / 1
$$\int\limits_{1}^{2} \frac{x x}{\left(2 x + 1\right)^{2}}\, dx$$
Integral((x*x)/(2*x + 1)^2, (x, 1, 2))
The answer (Indefinite)
[src]
/ | | x*x log(1 + 2*x) 1 x | ---------- dx = C - ------------ - ----------- + - | 2 4 8*(1 + 2*x) 4 | (2*x + 1) | /
$$\int \frac{x x}{\left(2 x + 1\right)^{2}}\, dx = C + \frac{x}{4} - \frac{\log{\left(2 x + 1 \right)}}{4} - \frac{1}{8 \left(2 x + 1\right)}$$
The graph
The answer
[src]
4 log(5) log(3) -- - ------ + ------ 15 4 4
$$- \frac{\log{\left(5 \right)}}{4} + \frac{4}{15} + \frac{\log{\left(3 \right)}}{4}$$
=
=
4 log(5) log(3) -- - ------ + ------ 15 4 4
$$- \frac{\log{\left(5 \right)}}{4} + \frac{4}{15} + \frac{\log{\left(3 \right)}}{4}$$
4/15 - log(5)/4 + log(3)/4
Use the examples entering the upper and lower limits of integration.