∫sinxdx
To evaluate the integral ∫sin(x)dx, you can use the substitution method
To evaluate the integral ∫sin(x)dx, you can use the substitution method.
Let’s start by letting u = cos(x):
Differentiating both sides with respect to x, we get du = -sin(x)dx.
Rearranging the equation, we have -du = sin(x)dx.
Substituting these values into the integral, we get:
∫sin(x)dx = ∫-du
Since -du is a constant with respect to x, we can pull it out of the integral:
∫-du = -∫du
∫-du simplifies to -u. So, the final answer is:
∫sin(x)dx = -cos(x) + C
Where C is the constant of integration.
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