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dx/5+4*sin(x)
Solving integrals/ dx/5+4*sin(x)

Integral of dx/5+4*sin(x) dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src] 
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 |  (0.2 + 4*sin(x)) dx
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$$\int\limits_{0}^{1} \left(4 \sin{\left(x \right)} + 0.2\right)\, dx$$ 
Integral(0.2 + 4*sin(x), (x, 0, 1))
Detail solution

  1. Integrate term-by-term:

    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:

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

    The result is:

  2. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
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 | (0.2 + 4*sin(x)) dx = C - 4*cos(x) + 0.2*x
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$$\int \left(4 \sin{\left(x \right)} + 0.2\right)\, dx = C + 0.2 x - 4 \cos{\left(x \right)}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
4.2 - 4*cos(1)
$$4.2 - 4 \cos{\left(1 \right)}$$ 
=
= 
4.2 - 4*cos(1)
$$4.2 - 4 \cos{\left(1 \right)}$$ 
4.2 - 4*cos(1)
Numerical answer [src] 
2.03879077652744
2.03879077652744
The graph
Integral of dx/5+4*sin(x) dx

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

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