∫cos(x)dx
To find the integral of cos(x) with respect to x, we need to apply the power rule of integration
To find the integral of cos(x) with respect to x, we need to apply the power rule of integration. The power rule states that the integral of xn dx equals (1/n+1) * xn+1 + C, where n is any real number and C is the constant of integration.
In this case, we have cos(x) which can be thought of as cos(x^1) since the exponent is 1. Therefore, applying the power rule, we get:
∫cos(x)dx = (1/1+1) * cos(x^1+1) + C
= (1/2) * cos(x^2) + C
So, the integral of cos(x) with respect to x is (1/2) * cos(x^2) + C, where C is the constant of integration.
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