Learn How to Evaluate the Integral of sin(x) with Limits

int sinx

The expression “int sinx” does not provide enough information to give a specific answer

The expression “int sinx” does not provide enough information to give a specific answer. However, it appears to represent the integral of the function sin(x) with respect to x.

To find the anti-derivative of sin(x), we can use the integration rules. The integral of sin(x) is equal to -cos(x) + C, where C is the constant of integration.

So, int sin(x) dx = -cos(x) + C

If you have a specific interval over which you want to evaluate the integral, you can use the limits of integration to find the value. For example, if you want to find the integral of sin(x) from 0 to π, you would substitute the limits into the anti-derivative expression:

int sin(x) dx = [-cos(x)] evaluated from 0 to π

Substituting the upper limit:

= -cos(π)

And substituting the lower limit:

= [-cos(π)] – [-cos(0)]

= -(-1) – (-1) = 1 + 1 = 2

So the integral of sin(x) from 0 to π is 2.

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