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Solving integrals/ 4sinx

Integral of 4sinx dX

Limits of integration:

from to
v

The graph:

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Piecewise:

The solution

You have entered [src] 
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 |  4*sin(x) dx
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∫014sin⁡(x) dx\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:

    ∫4sin⁡(x) dx=4∫sin⁡(x) dx\int 4 \sin{\left(x \right)}\, dx = 4 \int \sin{\left(x \right)}\, dx

    1. The integral of sine is negative cosine:

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

    So, the result is: −4cos⁡(x)- 4 \cos{\left(x \right)}

  2. Add the constant of integration:

    −4cos⁡(x)+constant- 4 \cos{\left(x \right)}+ \mathrm{constant}

The answer is:

−4cos⁡(x)+constant- 4 \cos{\left(x \right)}+ \mathrm{constant}

The answer (Indefinite) [src] 
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 | 4*sin(x) dx = C - 4*cos(x)
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∫4sin⁡(x) dx=C−4cos⁡(x)\int 4 \sin{\left(x \right)}\, dx = C - 4 \cos{\left(x \right)}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.90-1010
Plot the graph f(x)
The answer [src] 
4 - 4*cos(1)
4−4cos⁡(1)4 - 4 \cos{\left(1 \right)} 
=
= 
4 - 4*cos(1)
4−4cos⁡(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.

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