Integral of senx dx

You have entered [src]

  1          
  /          
 |           
 |  sin(x) dx
 |           
/            
0

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

Integral(sin(x), (x, 0, 1))

Detail solution

The integral of sine is negative cosine:

$\int \sin{\left(x \right)}\, dx = - \cos{\left(x \right)}$
Add the constant of integration:

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

The answer is:

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

The answer (Indefinite) [src]

  /                      
 |                       
 | sin(x) dx = C - cos(x)
 |                       
/

$$\int \sin{\left(x \right)}\, dx = C - \cos{\left(x \right)}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

1 - cos(1)

$$1 - \cos{\left(1 \right)}$$

1 - cos(1)

$$1 - \cos{\left(1 \right)}$$

1 - cos(1)

Numerical answer [src]

0.45969769413186

0.45969769413186

The graph

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