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*ln(x))/(1+x^2)^2
-
Integral of x/(x^2+4*x+8)
-
Integral of x/(sqrt(2x+1)+1)
-
Integral of xcos(2x)dx
-
Identical expressions
- (sin^ three (x))(cos^ three (x))
- ( sinus of cubed (x))( co sinus of e of cubed (x))
- ( sinus of to the power of three (x))( co sinus of e of to the power of three (x))
- (sin3(x))(cos3(x))
- sin3xcos3x
- (sin³(x))(cos³(x))
- (sin to the power of 3(x))(cos to the power of 3(x))
- sin^3xcos^3x
- (sin^3(x))(cos^3(x))dx
-
Similar expressions
- sin^3xcos^3x
Integral of (sin^3(x))(cos^3(x)) dx
The solution
You have entered
[src]
1 / | | 3 3 | sin (x)*cos (x) dx | / 0
$$\int\limits_{0}^{1} \sin^{3}{\left(x \right)} \cos^{3}{\left(x \right)}\, dx$$
Integral(sin(x)^3*cos(x)^3, (x, 0, 1))
The graph
The answer
[src]
6 4
sin (1) sin (1)
- ------- + -------
6 4
$$- \frac{\sin^{6}{\left(1 \right)}}{6} + \frac{\sin^{4}{\left(1 \right)}}{4}$$
=
=
6 4
sin (1) sin (1)
- ------- + -------
6 4
$$- \frac{\sin^{6}{\left(1 \right)}}{6} + \frac{\sin^{4}{\left(1 \right)}}{4}$$
-sin(1)^6/6 + sin(1)^4/4
The graph
Use the examples entering the upper and lower limits of integration.