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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of 2/x^4
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Integral of (x)/(1+x^2)
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Integral of 2x*e^x^2
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Integral of dx/(9*x^2-1)
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Identical expressions
- one /(fifteen +th(x)* seven)
- 1 divide by (15 plus th(x) multiply by 7)
- one divide by (fifteen plus th(x) multiply by seven)
- 1/(15+th(x)7)
- 1/15+thx7
- 1 divide by (15+th(x)*7)
- 1/(15+th(x)*7)dx
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Similar expressions
- 1/(15-th(x)*7)
Integral of 1/(15+th(x)*7) dx
The solution
You have entered
[src]
1 / | | 1 | -------------- dx | 15 + tanh(x)*7 | / 0
$$\int\limits_{0}^{1} \frac{1}{7 \tanh{\left(x \right)} + 15}\, dx$$
Integral(1/(15 + tanh(x)*7), (x, 0, 1))
The answer (Indefinite)
[src]
/ | | 1 7*log(15/7 + tanh(x)) x 7*log(1 + tanh(x)) | -------------- dx = C - --------------------- + -- + ------------------ | 15 + tanh(x)*7 176 22 176 | /
$$\int \frac{1}{7 \tanh{\left(x \right)} + 15}\, dx = C + \frac{x}{22} + \frac{7 \log{\left(\tanh{\left(x \right)} + 1 \right)}}{176} - \frac{7 \log{\left(\tanh{\left(x \right)} + \frac{15}{7} \right)}}{176}$$
The graph
The answer
[src]
1 7*log(15/7 + tanh(1)) 7*log(15/7) 7*log(1 + tanh(1)) -- - --------------------- + ----------- + ------------------ 22 176 176 176
$$- \frac{7 \log{\left(\tanh{\left(1 \right)} + \frac{15}{7} \right)}}{176} + \frac{7 \log{\left(\tanh{\left(1 \right)} + 1 \right)}}{176} + \frac{7 \log{\left(\frac{15}{7} \right)}}{176} + \frac{1}{22}$$
=
=
1 7*log(15/7 + tanh(1)) 7*log(15/7) 7*log(1 + tanh(1)) -- - --------------------- + ----------- + ------------------ 22 176 176 176
$$- \frac{7 \log{\left(\tanh{\left(1 \right)} + \frac{15}{7} \right)}}{176} + \frac{7 \log{\left(\tanh{\left(1 \right)} + 1 \right)}}{176} + \frac{7 \log{\left(\frac{15}{7} \right)}}{176} + \frac{1}{22}$$
1/22 - 7*log(15/7 + tanh(1))/176 + 7*log(15/7)/176 + 7*log(1 + tanh(1))/176
Use the examples entering the upper and lower limits of integration.