∫cos u du
To find the integral of the function ∫cos(u)du, we can follow these steps:
Step 1: Identify the integration variable
To find the integral of the function ∫cos(u)du, we can follow these steps:
Step 1: Identify the integration variable.
In this case, the integration variable is u.
Step 2: Recall the trigonometric identity.
Recall the trigonometric identity for the cos(u) function:
∫cos(u)du = sin(u) + C
where C represents the constant of integration.
Step 3: Apply the trigonometric identity to the function.
Using the trigonometric identity, we can rewrite the integral as:
∫cos(u)du = sin(u) + C
Step 4: Simplify the expression.
Since we have already applied the trigonometric identity, we don’t need to simplify the expression any further.
Step 5: Final answer.
Therefore, the integral of cos(u) with respect to u is:
∫cos(u)du = sin(u) + C
where C represents the constant of integration.
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