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}:
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Integral of sin^5(2x)
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Integral of x/(5-4x)^1/2
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Integral of (e^x-3x^2+sinx)
- Integral of xsiny
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Identical expressions
- sin^ five (2x)
- sinus of to the power of 5(2x)
- sinus of to the power of five (2x)
- sin5(2x)
- sin52x
- sin⁵(2x)
- sin^52x
- sin^5(2x)dx
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Similar expressions
- sin^5(2(x))/cos^2(2x)
Integral of sin^5(2x) dx
The solution
You have entered
[src]
1 / | | 5 | sin (2*x) dx | / 0
$$\int\limits_{0}^{1} \sin^{5}{\left(2 x \right)}\, dx$$
The graph
The answer
[src]
5 3 4 cos(2) cos (2) cos (2) -- - ------ - ------- + ------- 15 2 10 3
$${{4}\over{15}}-{{3\,\cos ^52-10\,\cos ^32+15\,\cos 2}\over{30}}$$
=
=
5 3 4 cos(2) cos (2) cos (2) -- - ------ - ------- + ------- 15 2 10 3
$$\frac{\cos^{3}{\left(2 \right)}}{3} - \frac{\cos^{5}{\left(2 \right)}}{10} - \frac{\cos{\left(2 \right)}}{2} + \frac{4}{15}$$
The graph
Use the examples entering the upper and lower limits of integration.