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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}:
- Integral of √(1+sinx)
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Integral of x^(33/10)/5
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Integral of xcos(x)dx
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Integral of ln(x-1)
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Identical expressions
- sin^2x/cos^ three (x)
- sinus of squared x divide by co sinus of e of cubed (x)
- sinus of squared x divide by co sinus of e of to the power of three (x)
- sin2x/cos3(x)
- sin2x/cos3x
- sin²x/cos³(x)
- sin to the power of 2x/cos to the power of 3(x)
- sin^2x/cos^3x
- sin^2x divide by cos^3(x)
- sin^2x/cos^3(x)dx
Integral of sin^2x/cos^3(x) dx
The solution
You have entered
[src]
1 / | | 2 | sin (x) | ------- dx | 3 | cos (x) | / 0
$$\int\limits_{0}^{1} \frac{\sin^{2}{\left(x \right)}}{\cos^{3}{\left(x \right)}}\, dx$$
Integral(sin(x)^2/(cos(x)^3), (x, 0, 1))
The answer (Indefinite)
[src]
/ | | 2 | sin (x) log(1 + sin(x)) log(-1 + sin(x)) sin(x) | ------- dx = C - --------------- + ---------------- - -------------- | 3 4 4 2 | cos (x) -2 + 2*sin (x) | /
$$-{{\log \left(\sin x+1\right)}\over{4}}+{{\log \left(\sin x-1
\right)}\over{4}}-{{\sin x}\over{2\,\sin ^2x-2}}$$
The graph
The answer
[src]
log(1 + sin(1)) log(1 - sin(1)) sin(1)
- --------------- + --------------- - --------------
4 4 2
-2 + 2*sin (1)
$$-{{\log \left(\sin 1+1\right)}\over{4}}+{{\log \left(1-\sin 1
\right)}\over{4}}-{{\sin 1}\over{2\,\sin ^21-2}}$$
=
=
log(1 + sin(1)) log(1 - sin(1)) sin(1)
- --------------- + --------------- - --------------
4 4 2
-2 + 2*sin (1)
$$\frac{\log{\left(1 - \sin{\left(1 \right)} \right)}}{4} - \frac{\log{\left(\sin{\left(1 \right)} + 1 \right)}}{4} - \frac{\sin{\left(1 \right)}}{-2 + 2 \sin^{2}{\left(1 \right)}}$$
The graph
Use the examples entering the upper and lower limits of integration.