Question
(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:
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
.