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  • Integral of d{x}:
  • Integral of s Integral of s
  • Integral of e^y Integral of e^y
  • Integral of dx/sinx Integral of dx/sinx
  • Integral of e^((-x^2)/2) Integral of e^((-x^2)/2)
  • Identical expressions

  • sin^ five (x)*COS^ three (X)
  • sinus of to the power of 5(x) multiply by COS cubed (X)
  • sinus of to the power of five (x) multiply by COS to the power of three (X)
  • sin5(x)*COS3(X)
  • sin5x*COS3X
  • sin⁵(x)*COS³(X)
  • sin to the power of 5(x)*COS to the power of 3(X)
  • sin^5(x)COS^3(X)
  • sin5(x)COS3(X)
  • sin5xCOS3X
  • sin^5xCOS^3X
  • sin^5(x)*COS^3(X)dx

Integral of sin^5(x)*COS^3(X) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1                   
  /                   
 |                    
 |     5       3      
 |  sin (x)*cos (x) dx
 |                    
/                     
0                     
$$\int\limits_{0}^{1} \sin^{5}{\left(x \right)} \cos^{3}{\left(x \right)}\, dx$$
Integral(sin(x)^5*cos(x)^3, (x, 0, 1))
The graph
The answer [src]
     8         6   
  sin (1)   sin (1)
- ------- + -------
     8         6   
$$- \frac{\sin^{8}{\left(1 \right)}}{8} + \frac{\sin^{6}{\left(1 \right)}}{6}$$
=
=
     8         6   
  sin (1)   sin (1)
- ------- + -------
     8         6   
$$- \frac{\sin^{8}{\left(1 \right)}}{8} + \frac{\sin^{6}{\left(1 \right)}}{6}$$
-sin(1)^8/8 + sin(1)^6/6
Numerical answer [src]
0.0277463252524934
0.0277463252524934

    Use the examples entering the upper and lower limits of integration.