Integration by Substitution In Exercises 35–42, use the method of substitution to find the indefinite integral. Check your result by differentiating. See Examples 6 and 7.
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 the expression,
This can be written as
Let
So,
Now use the general power rule to get,
Now the integral will be:
Substitute back the value of u to get,
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