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How to use it?
- Integral of d{x}:
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Integral of 1/(x+2)^2
- Integral of e^(x/y)
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Integral of 7
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Integral of e^(x^3)
- How do you in partial fractions?:
- (e^(3x)+1)/(e^x+1)
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Identical expressions
- (e^(3x)+ one)/(e^x+ one)
- (e to the power of (3x) plus 1) divide by (e to the power of x plus 1)
- (e to the power of (3x) plus one) divide by (e to the power of x plus one)
- (e(3x)+1)/(ex+1)
- e3x+1/ex+1
- e^3x+1/e^x+1
- (e^(3x)+1) divide by (e^x+1)
- (e^(3x)+1)/(e^x+1)dx
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Similar expressions
- (e^(3x)-1)/(e^x+1)
- (e^(3x)+1)/(e^x-1)
Integral of (e^(3x)+1)/(e^x+1) dx
The solution
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[src]
2 / | | 3*x | E + 1 | -------- dx | x | E + 1 | / 0
$$\int\limits_{0}^{2} \frac{e^{3 x} + 1}{e^{x} + 1}\, dx$$
Integral((E^(3*x) + 1)/(E^x + 1), (x, 0, 2))
The answer (Indefinite)
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/ | | 3*x 2*x | E + 1 e x / x\ | -------- dx = C + ---- - e + log\-e / | x 2 | E + 1 | /
$$\int \frac{e^{3 x} + 1}{e^{x} + 1}\, dx = C + \frac{e^{2 x}}{2} - e^{x} + \log{\left(- e^{x} \right)}$$
The graph
The answer
[src]
4 5 e 2 - + -- - e 2 2
$$- e^{2} + \frac{5}{2} + \frac{e^{4}}{2}$$
=
=
4 5 e 2 - + -- - e 2 2
$$- e^{2} + \frac{5}{2} + \frac{e^{4}}{2}$$
5/2 + exp(4)/2 - exp(2)
Use the examples entering the upper and lower limits of integration.