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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of tan^2x/sec^5x
- Integral of cos(ax+b)
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Integral of sin(3+4x)
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Integral of cos³xsin²x
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Identical expressions
- tan^2x/sec^5x
- tangent of squared x divide by sec to the power of 5x
- tan2x/sec5x
- tan²x/sec⁵x
- tan to the power of 2x/sec to the power of 5x
- tan^2x divide by sec^5x
- tan^2x/sec^5xdx
Integral of tan^2x/sec^5x dx
The solution
You have entered
[src]
1 / | | 2 | tan (x) | ------- dx | 5 | sec (x) | / 0
$$\int\limits_{0}^{1} \frac{\tan^{2}{\left(x \right)}}{\sec^{5}{\left(x \right)}}\, dx$$
Integral(tan(x)^2/(sec(x)^5), (x, 0, 1))
The answer (Indefinite)
[src]
/ | | 2 5 3 | tan (x) sin (x) sin (x) | ------- dx = C - ------- + ------- | 5 5 3 | sec (x) | /
$$-{{3\,\sin ^5x-5\,\sin ^3x}\over{15}}$$
The graph
The answer
[src]
5 3
sin (1) sin (1)
- ------- + -------
5 3
$$-{{3\,\sin ^51-5\,\sin ^31}\over{15}}$$
=
=
5 3
sin (1) sin (1)
- ------- + -------
5 3
$$- \frac{\sin^{5}{\left(1 \right)}}{5} + \frac{\sin^{3}{\left(1 \right)}}{3}$$
The graph
Use the examples entering the upper and lower limits of integration.