You entered:

sinx/2dx

What you mean?

sin(x)/((2*dx))

sin(x)*dx/2

sin(x)/((2*dx))

sin(x)*dx/2

sin(x)*dx/2

Integral of sinx/2dx dx

The solution

You have entered [src]

  1              
  /              
 |               
 |         1     
 |  sin(x)*-*1 dx
 |         2     
 |               
/                
0

$$\int\limits_{0}^{1} \sin{\left(x \right)} \frac{1}{2} \cdot 1\, dx$$

Integral(sin(x)*1/2, (x, 0, 1))

Detail solution

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

$\int \sin{\left(x \right)} \frac{1}{2} \cdot 1\, dx = \frac{\int \sin{\left(x \right)}\, dx}{2}$
1. The integral of sine is negative cosine:
  
  $\int \sin{\left(x \right)}\, dx = - \cos{\left(x \right)}$
So, the result is: $- \frac{\cos{\left(x \right)}}{2}$
Add the constant of integration:

$- \frac{\cos{\left(x \right)}}{2}+ \mathrm{constant}$

The answer is:

$- \frac{\cos{\left(x \right)}}{2}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                          
 |                           
 |        1            cos(x)
 | sin(x)*-*1 dx = C - ------
 |        2              2   
 |                           
/

$$-{{\cos x}\over{2}}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

1   cos(1)
- - ------
2     2

$${{1-\cos 1}\over{2}}$$

1   cos(1)
- - ------
2     2

$$- \frac{\cos{\left(1 \right)}}{2} + \frac{1}{2}$$

Упростить

Numerical answer [src]

0.22984884706593

0.22984884706593

The graph

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

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What you mean?

Integral of sinx/2dx dx

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The solution