Calculus Examples

Step 1
Let . Then . Rewrite using and .
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Let . Find .
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Differentiate .
By the Sum Rule, the derivative of with respect to is .
Differentiate using the Power Rule which states that is where .
Since is constant with respect to , the derivative of with respect to is .
Add and .
Rewrite the problem using and .
Step 2
The integral of with respect to is .
Step 3
Replace all occurrences of with .
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