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- Improper integral
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How to use it?
- Integral of d{x}:
- Integral of x^2√(1-x^2)
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Integral of e^-t
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Integral of sin(x)*dx/x
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Integral of sin(2*x)/cos(2*x)
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Identical expressions
- sin^2x/cos^6xdx
- sinus of squared x divide by co sinus of e of to the power of 6xdx
- sin2x/cos6xdx
- sin²x/cos⁶xdx
- sin to the power of 2x/cos to the power of 6xdx
- sin^2x divide by cos^6xdx
Integral of sin^2x/cos^6xdx dx
The solution
You have entered
[src]
1 / | | 2 1 | sin (x)*-------*1 dx | 6 | cos (x) | / 0
$$\int\limits_{0}^{1} \sin^{2}{\left(x \right)} \frac{1}{\cos^{6}{\left(x \right)}} 1\, dx$$
Integral(sin(x)^2*1/cos(x)^6, (x, 0, 1))
The answer (Indefinite)
[src]
/ | | 2 1 2*sin(x) sin(x) sin(x) | sin (x)*-------*1 dx = C - --------- - ---------- + --------- | 6 15*cos(x) 3 5 | cos (x) 15*cos (x) 5*cos (x) | /
$${{3\,\tan ^5x+5\,\tan ^3x}\over{15}}$$
The graph
The answer
[src]
2*sin(1) sin(1) sin(1)
- --------- - ---------- + ---------
15*cos(1) 3 5
15*cos (1) 5*cos (1)
$${{3\,\tan ^51+5\,\tan ^31}\over{15}}$$
=
=
2*sin(1) sin(1) sin(1)
- --------- - ---------- + ---------
15*cos(1) 3 5
15*cos (1) 5*cos (1)
$$- \frac{\sin{\left(1 \right)}}{15 \cos^{3}{\left(1 \right)}} - \frac{2 \sin{\left(1 \right)}}{15 \cos{\left(1 \right)}} + \frac{\sin{\left(1 \right)}}{5 \cos^{5}{\left(1 \right)}}$$
The graph
Use the examples entering the upper and lower limits of integration.