Mister Exam
Other calculators
- Improper integral
- Double Integral
- Triple Integral
- Curvilinear integral
- Derivative Step by Step
- Differential equations Step by Step
- Limits Step by Step
-
How to use it?
- Integral of d{x}:
-
Integral of x^3/(x^2+1)^2
-
Integral of 4*x^3
- Integral of ln(cosx)
-
Integral of 2x*sinx
-
Identical expressions
- cos^ three (2x)sin^ three (2x)
- co sinus of e of cubed (2x) sinus of cubed (2x)
- co sinus of e of to the power of three (2x) sinus of to the power of three (2x)
- cos3(2x)sin3(2x)
- cos32xsin32x
- cos³(2x)sin³(2x)
- cos to the power of 3(2x)sin to the power of 3(2x)
- cos^32xsin^32x
- cos^3(2x)sin^3(2x)dx
Integral of cos^3(2x)sin^3(2x) dx
The solution
You have entered
[src]
1 / | | 3 3 | cos (2*x)*sin (2*x) dx | / 0
$$\int\limits_{0}^{1} \sin^{3}{\left(2 x \right)} \cos^{3}{\left(2 x \right)}\, dx$$
Integral(cos(2*x)^3*sin(2*x)^3, (x, 0, 1))
The graph
The answer
[src]
6 4
sin (2) sin (2)
- ------- + -------
12 8
$$-{{2\,\sin ^62-3\,\sin ^42}\over{24}}$$
=
=
6 4
sin (2) sin (2)
- ------- + -------
12 8
$$- \frac{\sin^{6}{\left(2 \right)}}{12} + \frac{\sin^{4}{\left(2 \right)}}{8}$$
The graph
Use the examples entering the upper and lower limits of integration.