Mister Exam

Other calculators

6cosx
Solving integrals/ 6cosx

Integral of 6cosx dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1            
  /            
 |             
 |  6*cos(x) dx
 |             
/              
-2
∫−216cos⁡(x) dx\int\limits_{-2}^{1} 6 \cos{\left(x \right)}\, dx 
Integral(6*cos(x), (x, -2, 1))
Detail solution

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

    ∫6cos⁡(x) dx=6∫cos⁡(x) dx\int 6 \cos{\left(x \right)}\, dx = 6 \int \cos{\left(x \right)}\, dx

    1. The integral of cosine is sine:

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

    So, the result is: 6sin⁡(x)6 \sin{\left(x \right)}

  2. Add the constant of integration:

    6sin⁡(x)+constant6 \sin{\left(x \right)}+ \mathrm{constant}

The answer is:

6sin⁡(x)+constant6 \sin{\left(x \right)}+ \mathrm{constant}

The answer (Indefinite) [src] 
  /                          
 |                           
 | 6*cos(x) dx = C + 6*sin(x)
 |                           
/
6 sin⁡x6\,\sin x
Simplify
The graph
-2.00-1.75-1.50-1.25-1.00-0.75-0.50-0.251.000.000.250.500.75-1010
Plot the graph f(x)
The answer [src] 
6*sin(1) + 6*sin(2)
6 (sin⁡2+sin⁡1)6\,\left(\sin 2+\sin 1\right) 
=
= 
6*sin(1) + 6*sin(2)
6sin⁡(1)+6sin⁡(2)6 \sin{\left(1 \right)} + 6 \sin{\left(2 \right)}
Simplify
Numerical answer [src] 
10.5046104698015
10.5046104698015
The graph
Integral of 6cosx dx

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

    © Mister Exam – Calculator