Integral of dx/5+4sin(x) dx
The solution
Detail solution
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Integrate term-by-term:
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The integral of a constant times a function is the constant times the integral of the function:
∫4sin(x)dx=4∫sin(x)dx
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The integral of sine is negative cosine:
∫sin(x)dx=−cos(x)
So, the result is: −4cos(x)
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The integral of a constant is the constant times the variable of integration:
∫0.2dx=0.2x
The result is: 0.2x−4cos(x)
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Add the constant of integration:
0.2x−4cos(x)+constant
The answer is:
0.2x−4cos(x)+constant
The answer (Indefinite)
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| (0.2 + 4*sin(x)) dx = C - 4*cos(x) + 0.2*x
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∫(4sin(x)+0.2)dx=C+0.2x−4cos(x)
The graph
4.2−4cos(1)
=
4.2−4cos(1)
Use the examples entering the upper and lower limits of integration.