Identify Function: Identify the function to integrate.We are asked to find the integral of the function sin(x).
Recall Integral: Recall the integral of sin(x). The integral of sin(x) with respect to x is a standard integral in calculus. We know that the derivative of −cos(x) is sin(x), so the integral of sin(x) should be −cos(x).
Write Antiderivative: Write down the antiderivative.The antiderivative of sin(x) is −cos(x) plus the constant of integration, C.∫sin(x)dx=−cos(x)+C
Check for Errors: Check for any mathematical errors.We can differentiate our result to check if we get back the original function. The derivative of −cos(x) is sin(x), which is our original function.
More problems from Positive and negative square roots