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- Improper integral
- Double Integral
- Triple Integral
- Curvilinear integral
- Derivative Step by Step
- Differential equations Step by Step
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How to use it?
- Integral of d{x}:
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Integral of tanx
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Integral of tanh(x)
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Integral of x/(16x^4+1)
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Integral of sin(2x)cos(2x)
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Identical expressions
- dx/((x+ one)*(x+ three))
- dx divide by ((x plus 1) multiply by (x plus 3))
- dx divide by ((x plus one) multiply by (x plus three))
- dx/((x+1)(x+3))
- dx/x+1x+3
- dx divide by ((x+1)*(x+3))
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Similar expressions
- (dx)/(x+1)(x+3)
- dx/((x+1)*(x-3))
- dx/((x-1)*(x+3))
Integral of dx/((x+1)*(x+3)) dx
The solution
You have entered
[src]
1 / | | 1 | --------------- dx | (x + 1)*(x + 3) | / 0
$$\int\limits_{0}^{1} \frac{1}{\left(x + 1\right) \left(x + 3\right)}\, dx$$
Integral(1/((x + 1)*(x + 3)), (x, 0, 1))
The answer (Indefinite)
[src]
/ | | 1 log(1 + x) log(3 + x) | --------------- dx = C + ---------- - ---------- | (x + 1)*(x + 3) 2 2 | /
$$\int \frac{1}{\left(x + 1\right) \left(x + 3\right)}\, dx = C + \frac{\log{\left(x + 1 \right)}}{2} - \frac{\log{\left(x + 3 \right)}}{2}$$
The graph
The answer
[src]
log(2) log(3) log(4) ------ + ------ - ------ 2 2 2
$$- \frac{\log{\left(4 \right)}}{2} + \frac{\log{\left(2 \right)}}{2} + \frac{\log{\left(3 \right)}}{2}$$
=
=
log(2) log(3) log(4) ------ + ------ - ------ 2 2 2
$$- \frac{\log{\left(4 \right)}}{2} + \frac{\log{\left(2 \right)}}{2} + \frac{\log{\left(3 \right)}}{2}$$
log(2)/2 + log(3)/2 - log(4)/2
Use the examples entering the upper and lower limits of integration.