Mister Exam

Other calculators

3cosx
Solving integrals/ 3cosx

Integral of 3cosx dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1            
  /            
 |             
 |  3*cos(x) dx
 |             
/              
0
∫013cos⁡(x) dx\int\limits_{0}^{1} 3 \cos{\left(x \right)}\, dx 
Integral(3*cos(x), (x, 0, 1))
Detail solution

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

    ∫3cos⁡(x) dx=3∫cos⁡(x) dx\int 3 \cos{\left(x \right)}\, dx = 3 \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: 3sin⁡(x)3 \sin{\left(x \right)}

  2. Add the constant of integration:

    3sin⁡(x)+constant3 \sin{\left(x \right)}+ \mathrm{constant}

The answer is:

3sin⁡(x)+constant3 \sin{\left(x \right)}+ \mathrm{constant}

The answer (Indefinite) [src] 
  /                          
 |                           
 | 3*cos(x) dx = C + 3*sin(x)
 |                           
/
∫3cos⁡(x) dx=C+3sin⁡(x)\int 3 \cos{\left(x \right)}\, dx = C + 3 \sin{\left(x \right)}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.9005
Plot the graph f(x)
The answer [src] 
3*sin(1)
3sin⁡(1)3 \sin{\left(1 \right)} 
=
= 
3*sin(1)
3sin⁡(1)3 \sin{\left(1 \right)} 
3*sin(1)
Numerical answer [src] 
2.52441295442369
2.52441295442369
The graph
Integral of 3cosx dx

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

    © Mister Exam – Calculator