Mister Exam

Integral of 4sinx dX

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1            
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 |  4*sin(x) dx
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$$\int\limits_{0}^{1} 4 \sin{\left(x \right)}\, dx$$
Integral(4*sin(x), (x, 0, 1))
Detail solution
  1. The integral of a constant times a function is the constant times the integral of the function:

    1. The integral of sine is negative cosine:

    So, the result is:

  2. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
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 | 4*sin(x) dx = C - 4*cos(x)
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$$\int 4 \sin{\left(x \right)}\, dx = C - 4 \cos{\left(x \right)}$$
The graph
The answer [src]
4 - 4*cos(1)
$$4 - 4 \cos{\left(1 \right)}$$
=
=
4 - 4*cos(1)
$$4 - 4 \cos{\left(1 \right)}$$
4 - 4*cos(1)
Numerical answer [src]
1.83879077652744
1.83879077652744

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