Mister Exam

Other calculators

cos(2x)*dt
Solving integrals/ cos(2x)*dt

Integral of cos(2x)*dt dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 pi              
  /              
 |               
 |  cos(2*x)*1 dt
 |               
/                
0
∫0πcos⁡(2x)1 dt\int\limits_{0}^{\pi} \cos{\left(2 x \right)} 1\, dt 
Integral(cos(2*x)*1, (t, 0, pi))
Detail solution

  1. The integral of a constant is the constant times the variable of integration:

    ∫cos⁡(2x)1 dt=tcos⁡(2x)\int \cos{\left(2 x \right)} 1\, dt = t \cos{\left(2 x \right)}

  2. Add the constant of integration:

    tcos⁡(2x)+constantt \cos{\left(2 x \right)}+ \mathrm{constant}

The answer is:

tcos⁡(2x)+constantt \cos{\left(2 x \right)}+ \mathrm{constant}

The answer (Indefinite) [src] 
  /                              
 |                               
 | cos(2*x)*1 dt = C + t*cos(2*x)
 |                               
/
t cos⁡(2 x)t\,\cos \left(2\,x\right)
Simplify
The graph
0.000.250.500.751.001.251.501.752.002.252.502.753.002-2
Plot the graph f(x)
The answer [src] 
pi*cos(2*x)
π cos⁡(2 x)\pi\,\cos \left(2\,x\right) 
=
= 
pi*cos(2*x)
πcos⁡(2x)\pi \cos{\left(2 x \right)}
Simplify
The graph
Integral of cos(2x)*dt dx

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

    © Mister Exam – Calculator