Mister Exam

Other calculators


sin(7x)cos(5x)

Integral of sin(7x)cos(5x) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1                     
  /                     
 |                      
 |  sin(7*x)*cos(5*x) dx
 |                      
/                       
0                       
$$\int\limits_{0}^{1} \sin{\left(7 x \right)} \cos{\left(5 x \right)}\, dx$$
Integral(sin(7*x)*cos(5*x), (x, 0, 1))
The graph
The answer [src]
7    7*cos(5)*cos(7)   5*sin(5)*sin(7)
-- - --------------- - ---------------
24          24                24      
$$- \frac{7 \cos{\left(5 \right)} \cos{\left(7 \right)}}{24} - \frac{5 \sin{\left(5 \right)} \sin{\left(7 \right)}}{24} + \frac{7}{24}$$
=
=
7    7*cos(5)*cos(7)   5*sin(5)*sin(7)
-- - --------------- - ---------------
24          24                24      
$$- \frac{7 \cos{\left(5 \right)} \cos{\left(7 \right)}}{24} - \frac{5 \sin{\left(5 \right)} \sin{\left(7 \right)}}{24} + \frac{7}{24}$$
7/24 - 7*cos(5)*cos(7)/24 - 5*sin(5)*sin(7)/24
Numerical answer [src]
0.360542794189598
0.360542794189598
The graph
Integral of sin(7x)cos(5x) dx

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