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Solving integrals/ cosx*cosy

Integral of cosx*cosy dy

Limits of integration:

from to
v

The graph:

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Piecewise:

The solution

You have entered [src] 
 pi                 
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 2                  
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 |  cos(x)*cos(y) dy
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0
$$\int\limits_{0}^{\frac{\pi}{2}} \cos{\left(x \right)} \cos{\left(y \right)}\, dy$$ 
Integral(cos(x)*cos(y), (y, 0, pi/2))
Detail solution

  1. The integral of a constant times a function is the constant times the integral of the function:

    1. The integral of cosine is sine:

    So, the result is:

  2. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                                    
 |                                     
 | cos(x)*cos(y) dy = C + cos(x)*sin(y)
 |                                     
/
$$\int \cos{\left(x \right)} \cos{\left(y \right)}\, dy = C + \sin{\left(y \right)} \cos{\left(x \right)}$$
Simplify
The answer [src] 
cos(x)
$$\cos{\left(x \right)}$$ 
=
= 
cos(x)
$$\cos{\left(x \right)}$$ 
cos(x)

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

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