Mister Exam

Other calculators

sin5xcos3xdx
Solving integrals/ sin5xcos3xdx

Integral of sin5xcos3xdx dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1                       
  /                       
 |                        
 |  sin(5*x)*cos(3*x)*1 dx
 |                        
/                         
0
∫01sin⁡(5x)cos⁡(3x)1 dx\int\limits_{0}^{1} \sin{\left(5 x \right)} \cos{\left(3 x \right)} 1\, dx
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.901-1
Plot the graph f(x)
The answer [src] 
5    5*cos(3)*cos(5)   3*sin(3)*sin(5)
-- - --------------- - ---------------
16          16                16
516−cos⁡8+4 cos⁡216{{5}\over{16}}-{{\cos 8+4\,\cos 2}\over{16}} 
=
= 
5    5*cos(3)*cos(5)   3*sin(3)*sin(5)
-- - --------------- - ---------------
16          16                16
−3sin⁡(3)sin⁡(5)16−5cos⁡(3)cos⁡(5)16+516- \frac{3 \sin{\left(3 \right)} \sin{\left(5 \right)}}{16} - \frac{5 \cos{\left(3 \right)} \cos{\left(5 \right)}}{16} + \frac{5}{16}
Simplify
Numerical answer [src] 
0.425630461249824
0.425630461249824
The graph
Integral of sin5xcos3xdx dx

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

    © Mister Exam – Calculator