Applying the General Power Rule In Exercises 9–34, find the indefinite integral. Check your result by differentiating. See Examples 1, 2, 3, and 5.
To calculate: The indefinite integral of
Given Information:
The provided expression is
Formula used:
General Power Rule:
If u is a differentiable function of x, then
The Constant Multiple Rule:
The Chain Rule:
The Power Rule:
Where n is a real number.
Calculation:
Consider
This can be written as
Let
So,
Now use the general power rule to get,
Now the integral will be:
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