Mister Exam

Other calculators

sin5xsin9x
Solving integrals/ sin5xsin9x

Integral of sin5xsin9x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1                     
  /                     
 |                      
 |  sin(5*x)*sin(9*x) dx
 |                      
/                       
0
$$\int\limits_{0}^{1} \sin{\left(5 x \right)} \sin{\left(9 x \right)}\, dx$$ 
Integral(sin(5*x)*sin(9*x), (x, 0, 1))
The graph
Plot the graph f(x)
The answer [src] 
  9*cos(9)*sin(5)   5*cos(5)*sin(9)
- --------------- + ---------------
         56                56
$$- \frac{9 \sin{\left(5 \right)} \cos{\left(9 \right)}}{56} + \frac{5 \sin{\left(9 \right)} \cos{\left(5 \right)}}{56}$$ 
=
= 
  9*cos(9)*sin(5)   5*cos(5)*sin(9)
- --------------- + ---------------
         56                56
$$- \frac{9 \sin{\left(5 \right)} \cos{\left(9 \right)}}{56} + \frac{5 \sin{\left(9 \right)} \cos{\left(5 \right)}}{56}$$ 
-9*cos(9)*sin(5)/56 + 5*cos(5)*sin(9)/56
Numerical answer [src] 
-0.129979146045451
-0.129979146045451
The graph
Integral of sin5xsin9x dx

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

    © Mister Exam – Calculator