Mister Exam

Other calculators

sinxdx
Solving integrals/ sinxdx

Integral of sinxdx dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1          
  /          
 |           
 |  sin(x) dx
 |           
/            
0
∫01sin⁡(x) dx\int\limits_{0}^{1} \sin{\left(x \right)}\, dx 
Integral(sin(x), (x, 0, 1))
Detail solution

  1. The integral of sine is negative cosine:

    ∫sin⁡(x) dx=−cos⁡(x)\int \sin{\left(x \right)}\, dx = - \cos{\left(x \right)}

  2. Add the constant of integration:

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

The answer is:

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

The answer (Indefinite) [src] 
  /                      
 |                       
 | sin(x) dx = C - cos(x)
 |                       
/
∫sin⁡(x) dx=C−cos⁡(x)\int \sin{\left(x \right)}\, dx = C - \cos{\left(x \right)}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.902-2
Plot the graph f(x)
The answer [src] 
1 - cos(1)
1−cos⁡(1)1 - \cos{\left(1 \right)} 
=
= 
1 - cos(1)
1−cos⁡(1)1 - \cos{\left(1 \right)} 
1 - cos(1)
Numerical answer [src] 
0.45969769413186
0.45969769413186
The graph
Integral of sinxdx dx

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

    © Mister Exam – Calculator