Mister Exam
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- Improper integral
- Double Integral
- Triple Integral
- Curvilinear integral
- Derivative Step by Step
- Differential equations Step by Step
- Limits Step by Step
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How to use it?
- Integral of d{x}:
- Integral of sqrt(1-cosx)dx
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Integral of sqrt(12-3x^2)
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Integral of tan^6(3x)
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Integral of ctg^2(x)dx
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Identical expressions
- tan^ six (3x)
- tangent of to the power of 6(3x)
- tangent of to the power of six (3x)
- tan6(3x)
- tan63x
- tan⁶(3x)
- tan^63x
- tan^6(3x)dx
Integral of tan^6(3x) dx
The solution
You have entered
[src]
1 / | | 6 | tan (3*x) dx | / 0
$$\int\limits_{0}^{1} \tan^{6}{\left(3 x \right)}\, dx$$
The answer (Indefinite)
[src]
/ | 3 5 | 6 sin (3*x) sin(3*x) sin (3*x) | tan (3*x) dx = C - x - ----------- + ---------- + ------------ | 3 3*cos(3*x) 5 / 9*cos (3*x) 15*cos (3*x)
$${{{{3\,\tan ^5\left(3\,x\right)-5\,\tan ^3\left(3\,x\right)+15\,
\tan \left(3\,x\right)}\over{15}}-3\,x}\over{3}}$$
The graph
The answer
[src]
oo
$${{{{3\,\tan ^53-5\,\tan ^33+15\,\tan 3}\over{15}}-3}\over{3}}$$
=
=
oo
$$\infty$$
The graph
Use the examples entering the upper and lower limits of integration.