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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^2)
- Integral of cot(x)
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Integral of e^(2x)
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Integral of -tan(x)
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Identical expressions
- ln(tgx)/cosx^ four
- ln(tgx) divide by co sinus of e of x to the power of 4
- ln(tgx) divide by co sinus of e of x to the power of four
- ln(tgx)/cosx4
- lntgx/cosx4
- ln(tgx)/cosx⁴
- lntgx/cosx^4
- ln(tgx) divide by cosx^4
- ln(tgx)/cosx^4dx
Integral of ln(tgx)/cosx^4 dx
The solution
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[src]
1 / | | log(tan(x)) | ----------- dx | 4 | cos (x) | / 0
$$\int\limits_{0}^{1} \frac{\log{\left(\tan{\left(x \right)} \right)}}{\cos^{4}{\left(x \right)}}\, dx$$
Integral(log(tan(x))/cos(x)^4, (x, 0, 1))
The answer (Indefinite)
[src]
/ | / 3 \ 3 | log(tan(x)) 4*tan(x) |tan (x) | sin (x) sin(x) | ----------- dx = C - -------- + |------- + tan(x)|*log(tan(x)) - --------- + -------- | 4 3 \ 3 / 3 3*cos(x) | cos (x) 9*cos (x) | /
$$\int \frac{\log{\left(\tan{\left(x \right)} \right)}}{\cos^{4}{\left(x \right)}}\, dx = C + \left(\frac{\tan^{3}{\left(x \right)}}{3} + \tan{\left(x \right)}\right) \log{\left(\tan{\left(x \right)} \right)} - \frac{\sin^{3}{\left(x \right)}}{9 \cos^{3}{\left(x \right)}} + \frac{\sin{\left(x \right)}}{3 \cos{\left(x \right)}} - \frac{4 \tan{\left(x \right)}}{3}$$
Use the examples entering the upper and lower limits of integration.