Step-by-Step Guide: Integrating cos(u) using Trigonometric Identity

∫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.

More Answers:

Master the Power Rule for Integrating ∫a^x dx: A Substitution Technique
Master the Basic Rule of Integration: ∫e^x dx = e^x + C
Mastering Integration: A Step-by-Step Guide to Evaluating the Integral of sin(u)

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