Integral of: cos(x) dx
To find the integral of cos(x) with respect to x, we can use the integral rules and trigonometric identities
To find the integral of cos(x) with respect to x, we can use the integral rules and trigonometric identities.
The integral of cos(x) can be obtained using the basic integral formulas for trigonometric functions. The integral of cos(x) with respect to x is given by:
∫cos(x) dx = sin(x) + C,
where C is the constant of integration.
This is a direct application of the integral rule that states the integral of cos(x) is sin(x).
To see why this is true, we can differentiate sin(x) + C with respect to x:
d/dx(sin(x) + C) = cos(x),
which confirms that the derivative of sin(x) + C is equal to cos(x).
Therefore, the integral of cos(x) with respect to x is sin(x) + C.
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