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Calculus Examples
Step 1
Step 1.1
Raise to the power of .
Step 1.2
Use the power rule to combine exponents.
Step 2
Step 2.1
Let . Find .
Step 2.1.1
Differentiate .
Step 2.1.2
By the Sum Rule, the derivative of with respect to is .
Step 2.1.3
Since is constant with respect to , the derivative of with respect to is .
Step 2.1.4
Differentiate using the Power Rule which states that is where .
Step 2.1.5
Add and .
Step 2.2
Rewrite the problem using and .
Step 3
The integral of with respect to is .
Step 4
Rewrite as .
Step 5
Replace all occurrences of with .