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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of tg^2x
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Integral of sec^2(3x)
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Integral of sin(x)tan^3(x)
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Integral of sin(x)*(sin(5x))
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Identical expressions
- sin(x)tan^ three (x)
- sinus of (x) tangent of cubed (x)
- sinus of (x) tangent of to the power of three (x)
- sin(x)tan3(x)
- sinxtan3x
- sin(x)tan³(x)
- sin(x)tan to the power of 3(x)
- sinxtan^3x
- sin(x)tan^3(x)dx
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Similar expressions
- sinxtan^3(x)
Integral of sin(x)tan^3(x) dx
The solution
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[src]
1 / | | 3 | sin(x)*tan (x) dx | / 0
$$\int\limits_{0}^{1} \sin{\left(x \right)} \tan^{3}{\left(x \right)}\, dx$$
Integral(sin(x)*tan(x)^3, (x, 0, 1))
The answer (Indefinite)
[src]
/ | | 3 3*log(1 + sin(x)) 3*log(-1 + sin(x)) sin(x) | sin(x)*tan (x) dx = C - ----------------- + ------------------ - -------------- + sin(x) | 4 4 2 / -2 + 2*sin (x)
$$\int \sin{\left(x \right)} \tan^{3}{\left(x \right)}\, dx = C + \frac{3 \log{\left(\sin{\left(x \right)} - 1 \right)}}{4} - \frac{3 \log{\left(\sin{\left(x \right)} + 1 \right)}}{4} + \sin{\left(x \right)} - \frac{\sin{\left(x \right)}}{2 \sin^{2}{\left(x \right)} - 2}$$
The graph
The answer
[src]
3*log(1 + sin(1)) 3*log(1 - sin(1)) sin(1)
- ----------------- + ----------------- - -------------- + sin(1)
4 4 2
-2 + 2*sin (1)
$$\frac{3 \log{\left(1 - \sin{\left(1 \right)} \right)}}{4} - \frac{3 \log{\left(\sin{\left(1 \right)} + 1 \right)}}{4} + \sin{\left(1 \right)} - \frac{\sin{\left(1 \right)}}{-2 + 2 \sin^{2}{\left(1 \right)}}$$
=
=
3*log(1 + sin(1)) 3*log(1 - sin(1)) sin(1)
- ----------------- + ----------------- - -------------- + sin(1)
4 4 2
-2 + 2*sin (1)
$$\frac{3 \log{\left(1 - \sin{\left(1 \right)} \right)}}{4} - \frac{3 \log{\left(\sin{\left(1 \right)} + 1 \right)}}{4} + \sin{\left(1 \right)} - \frac{\sin{\left(1 \right)}}{-2 + 2 \sin^{2}{\left(1 \right)}}$$
-3*log(1 + sin(1))/4 + 3*log(1 - sin(1))/4 - sin(1)/(-2 + 2*sin(1)^2) + sin(1)
The graph
Use the examples entering the upper and lower limits of integration.