Question
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(1 point) Evaluate the indefinite integral:

Ask by Vaughan Fernandez. in the United States
Mar 30,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The result of the indefinite integral is , where is a constant.

Solution

We need to evaluate the indefinite integral .
Evaluate the integral by following steps:
  • step0: Solution:
  • step1: Evaluate the integral:
  • step2: Add the constant of integral C:

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Bonus Knowledge

The indefinite integral of a constant can be determined by multiplying the constant by the variable of integration. So, when you evaluate , you essentially get plus the constant of integration . Therefore, the result is .
If you’re ever unsure about integrating a constant, just remember: it’s like adding sprinkles on top of a cupcake – you’re just adding a bit of sweetness (constant) to every unit of your “cake” (the variable!). So the final answer is .

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