∫(cosx)dx
To evaluate the integral of cos(x) with respect to x, we can use the basic integral formulas and trigonometric identities
To evaluate the integral of cos(x) with respect to x, we can use the basic integral formulas and trigonometric identities.
The integral of cos(x) can be found using the formula:
∫ cos(x)dx = sin(x) + C
Where C is the constant of integration.
Therefore, the integral of cos(x) is sin(x) + C.
To verify this, we can differentiate sin(x) + C with respect to x:
d/dx (sin(x) + C) = cos(x) + 0 = cos(x)
As we can see, the derivative of sin(x) + C is indeed cos(x), which confirms that we have found the correct antiderivative.
Hence, the result of the integral of cos(x) with respect to x is sin(x) + C, where C is the constant of integration.
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